Friedrich Ernst Peter Hirzebruch Bibliography

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1 Friedrich Ernst Peter Hirzebruch Bibliography Friedrich Ernst Peter Hirzebruch 1

2 Friedrich Ernst Peter Hirzebruch Bibliography (1) 1951 Über eine Klasse von einfach-zusammenhängenden komplexen Mannigfaltigkeiten. Mathematische Annalen, 124. pp (2) 1953 On Steenrod's reduced powers, the index of inertia and the Todd genus. Proceedings of the National Academy of Sciences of the United States of America, 39 (9). pp (3) 1953 Über vierdimensionale Riemannsche Flächen mehrdeutiger analytischer Funktionen von zwei komplexen Veränderlichen. Mathematische Annalen, 126. pp (4) 1953 Übertragung einiger Sätze aus der Theorie der algebraischen Flächen auf komplexe Mannigfaltigkeiten von zwei komplexen Dimensionen. Journal für die Reine und Angewandte Mathematik, 191. pp (5) 1953 On Steenrod reduced powers in oriented manifolds. Working Paper. Princeton University, Princeton, New Jersey. (Unpublished) (6) 1953 Todd arithmetic genus for almost complex manifolds. Working Paper. Princeton University, Princeton, New Jersey. (Unpublished) (7) 1953 The index of an oriented manifold and the Todd genus of an almost complex manifold. Working Paper. Princeton University, Princeton, New Jersey. (Unpublished) (8) 1954 Arithmetic genera and the theorem of Riemann-Roch for algebraic varieties. Proceedings of the National Academy of Sciences, 40 (2). pp (9) 1954 Der Satz von Riemann-Roch und das toddsche arithmetische Geschlecht für algebraische Mannigfaltigkeiten. In: Proceedings of the International Congress of Mathematicians; Vol. 2. North- Holland Publishing, Amsterdam, pp (10) 1954 On the characteristic cohomology classes of differentiable manifolds. In: Colloque Henri Poincaré. Textes des conférences. Institut Henri Poincaré, Paris, o.s.-. (11) 1954 Some problems on differentiable and complex manifolds. Annals of Mathematics (2), 60. pp (12) 1954 Über die quaternionalen projektiven Räume. Sitzungsberichte der Mathematisch- Naturwissenschaftlichen Klasse der Bayerischen Akademie der Wissenschaften zu München, pp (13) 1954 The theorem of Riemann-Roch. Application to special classes of algebraic manifolds. In: Colloque Henri Poincaré. Textes des conférences. Institut Henri Poincaré, Paris, o.s.-. (14) 1955 Arithmetic genera and the theorem of Riemann-Roch. In: Teorema di Riemann-Roch e questioni connesse. C.I.M.E. Summer Schools, 4. Springer, Berlin, pp ISBN (15) 1956 Der Satz von Riemann-Roch in Faisceau-theoretischer Formulierung: einige Anwendungen und offene Fragen. In: Proceedings of the International Congress of Mathematicians; Vol. 3. North- Holland Publishing, Amsterdam, pp (16) 1956 Neue topologische Methoden in der algebraischen Geometrie. Ergebnisse der Mathematik und ihrer Grenzgebiete, N.F. 9. Springer, Berlin [et al.]. (17) 1957 (With Shiing-Shen Chern & Jean-Pierre Serre) On the index of a fibered manifold. Proceedings of the American Mathematical Society, 8 (3). pp (18) 1957 Characteristic numbers of homogeneous domains. In: Seminars on analytic functions. Vol. 2. Institute of Advanced Studies, Princeton, NJ, pp (19) 1957 (With Kunihiko Kodaira) On the complex projective spaces. Journal de Mathématiques Pures et Appliquées (9), 36. pp (20) 1957 (With Günter Scheja) Garben- und Cohomologietheorie. Ausarbeitungen mathematischer und physikalischer Vorlesungen, 20. Aschendorffsche Verlagsbuchhandlung, Münster. (21) 1958 Automorphe Formen und der Satz von Riemann-Roch. In: Symposium Internacional de Topología Algebraica. Universidad Nacional Autónoma de Mexico, Mexico, pp (22) (With Armand Borel) Characteristic classes and homogeneous spaces. I. American Journal of Mathematics, 80. pp (23) (With Heinz Hopf) Felder von Flächenelementen in 4-dimensionalen Mannigfaltigkeiten. Mathematische Annalen, 136. pp (24) 1959 (With Michael F. Atiyah) Quelques théorèmes de non-plongement pour les variétés différentiables. Bulletin de la Société Mathématique de France, 87. pp (25) (With Michael F. Atiyah) Riemann-Roch theorem for differentiable manifolds. Bulletin of the American Mathematical Society, 65 (4). pp (26) (With Armand Borel) Characteristic classes and homogeneous spaces. II. American Journal of Mathematics, 81. pp (27) 1960 Komplexe Mannigfaltigkeiten. In: Proceedings of the International Congress of Mathematicians. Cambridge University Press, Cambridge, pp (28) (With Armand Borel) Characteristic classes and homogeneous spaces. III. American Journal of Mathematics, 82. pp (29) 1961 (With Michael F. Atiyah) Bott periodicity and the parallelizability of the spheres. Proceedings of the Cambridge Philosophical Society, 57 (2). pp Friedrich Ernst Peter Hirzebruch 2

3 (30) (With Michael F. Atiyah) Charakteristische Klassen und Anwendungen. L'Enseignement Mathématique. Iie Série, 7 (1). pp (31) (With Michael F. Atiyah) Cohomologie-Operationen und charakteristische Klassen. Mathematische Zeitschrift, 77. pp (32) (With Michael Francis Atiyah) Vector bundles and homogeneous spaces. In: Differential geormetry. Proceedings of the Symposium in Pure Mathematics, 3. AMS, Providence, RI, pp (33) 1961 Zur Theorie der Mannigfaltigkeiten, 18. November Internationale Mathematische Nachrichten, 36, Jh (34) 1962 (With Michael Francis Atiyah) Analytic cycles on complex manifolds. Topology, 1. pp (35) (With Michael Francis Atiyah) The Riemann-Roch theorem for analytic embeddings. Topology, 1. pp (36) (With Sebastian S. Koh) Differentiable manifolds and quadratic forms. [Teaching Resource] (Unpublished) (37) 1966 Bericht über Arbeiten am Mathematischen Institut der Universität Bonn. Landesamt für Forschung: Jahrbuch. pp (38) 1966 Elliptische Differentialoperatoren auf Mannigfaltigkeiten. In: Gedächtnisfeier K. Weierstrass. Westdeutscher Verlag, Köln, pp (39) 1966 Über Singularitäten komplexer Flächen. Rendiconti di Matematica e delle Sue Applicazioni, V. Serie, 25. pp (40) 1966 The topology of normal singularities of an algebraic surface. In: Séminaire Bourbaki. Vol. 8.No 250. Societe Mathematic de France, Paris, pp (41) 1968 Involutionen auf Mannigfaltigkeiten. In: Proceedings of the Conference on Transformation groups. Springer, Heidelberg [et. al.], pp (42) 1968 Singularities and exotic spheres. In: Séminaire Bourbaki, Vol. 10, Exp. No Societe Mathematic de France, Paris, pp ISBN (43) (With Karl Heinz Mayer) O(n)-Mannigfaltigkeiten, exotische Sphären und Singularitäten. Lecture Notes in Mathematics, 57. Springer, Heidelberg. ISBN (44) 1969 The signature of ramified coverings. In: Global analysis. Papers in honor of K. Kodaira. University of Tokyo Press and Princeton Univerity Press, Tokyo, pp (45) (With Klaus Jänich) Involutions and singularities. In: Algebraic geometry. Oxford University Press, London, pp (46) (With Ulrich Karras, Matthias Kreck & Horst Dieter Vohmann) Analytische Geometrie I. [Teaching Resource] (Unpublished) (47) 1970 Lösung einer Aufgabe von H. Hasse. Jahresbericht der Deutschen Mathematiker-Vereinigung, 72, 2.. pp (48) (With Michael Francis Atiyah) Spin-manifolds and group actions. In: Essays on topology and related topics. Memoires dédiés à Georges de Rham. Springer, Berlin [et al.], pp (49) 1971 Pontrjagin classes of rational homology manifolds and the signature of some affine hypersurfaces. In: Proceedings of Liverpool Singularities Symposium. II (1969/1970). Lecture notes in mathematics, 209. Springer, Berlin [et al.], pp (50) 1971 The signature theorem: Reminiscences and recreation. In: Prospects in mathematics. Annals of mathematics studies, 70. Princeton University Press, Princeton, pp (51) (With Walter D. Neumann & Sebastian S. Koh) Differentiable manifolds and quadratic forms. Lecture notes in pure and applied mathematics, 4. Dekker, New York. ISBN (52) (With Winfried Scharlau) Einführung in die Funktionalanalysis. B.I. Hochschultaschenbücher, 296. B.I.-Wissenschaftsverlag, Mannheim [et al.]. ISBN (53) 1972 The Hilbert modular group, resolution of the singularities at the cusps and related problems. In: Séminaire Bourbaki vol. 1970/71 Exposés Lecture Notes in Mathematics, 244. Springer, Heidelberg, pp (54) 1972 Lectures on K-theory. In: Algebraic topology: a student's guide. London Mathematical Society lecture note series, 4. Cambridge University Press, Cambridge, pp (55) (With Henning Behnke) In memoriam Heinz Hopf. Mathematische Annalen, 196. pp (56) 1973 (With W. F. Hammond) L-Series, modular imbeddings, and signatures. Mathematische Annalen, 204 (4). pp (57) 1973 Hilbert modular surfaces. L'Enseignement Mathématique, 19. pp (58) 1974 Kurven auf den Hilbertschen Modulflächen und Klassenzahlrelationen. In: Classification of algebraic varieties and compact complex manifolds. Lecture notes in mathematics, 412. Springer, Berlin [et al.], pp (59) 1974 Mathematik, Studium und Forschung. In: Mathematiker über die Mathematik. Springer, Berlin [et al.], pp (60) (With A. Van de Ven) Hilbert modular surfaces and the classification of algebraic surfaces. Inventiones Mathematicae, 23 (1). pp (61) (With Don Zagier) The Atiyah-Singer theorem and elementary number theory. Mathematics Lecture Series, 3. Publish or Perish, Boston, Mass.. Friedrich Ernst Peter Hirzebruch 3

4 (62) 1976 Hilbert modular surfaces and class numbers. Astérisque, pp (63) (With Don Zagier) Intersection numbers of curves on Hilbert modular surfaces and modular forms of Nebentypus. Inventiones Mathematicae, 36. pp (64) 1976 Die Hilbertsche Modulgruppe für $Q(\sqrt{5})$ und die kubische Diagonalfläche von Clebsch und Klein. Working Paper. SFB Theoretische Mathematik, Bonn. (65) 1977 Positive definite binary quadratic forms and Hilbert modular surfaces. Astérisque, (66) 1977 The ring of Hilbert modular forms for real quadratic fields in small discriminant. In: Modular functions of one variable VI. Lecture Notes in Mathematics, 627. Springer, Heidelberg, pp (67) (With Don Zagier) Classification of Hilbert modular surfaces. In: Complex analysis and algebraic geometry. Cambridge University Press, Cambridge, pp (68) 1978 Modulflächen und Modulkurven zur symmetrischen Hilbertschen Modulgruppe. Annales Scientifiques de l'école Normale Supérieure. Quatrième Série, 11 (1). pp (69) 1978 Topological methods in algebraic geometry. Grundlehren der mathematischen Wissenschaften, 131. Springer, Berlin [et al.]. ISBN (70) 1978 Überlagerungen der projektiven Ebene und Hilbertsche Modulflächen. L'Enseignement Mathématique. Iie Série, 24 (1-2). pp (71) 1979 (With A. Van de Ven) Minimal Hilbert modular surfaces with $p_g=3$ and $k^2=2$. American Journal of Mathematics, 101 (1). pp ISSN (72) 1980 The canonical map for certain Hilbert modular surfaces. In: Proceedings of the International Symposium on Differential Geometry in honor of S.-S. Chern. Springer, New York (et al), pp (73) 1981 Algebraic surfaces and examples of Hilbert modular surfaces. In: Lectures on Hilbert modular surfaces. Séminaire scientific OTAN, 77. Les Presses de L'Université de Motréal, Montréal, pp (74) (With Gerard van der Geer) Lectures on Hilbert modular surfaces. Séminaire scientific OTAN, 77. Les Presses de L'Université de Montréal, Montréal. ISBN (75) 1982 Some examples of algebraic surfaces. In: Papers in algebra, analysis and statistics. Contemporary Mathematics, 9. AMS, Providence, RI, pp (76) 1983 (With H.-D. Ebbinghaus, H. Hermes, M. Koecher, A. Prstel & Reinhold Remmert) Zahlen. Grundwissen Mathematik, 1. Springer, Heidelberg. ISBN (77) 1984 Chern numbers of algebraic surfaces. Mathematische Annalen, 266 (3). pp (78) 1985 Algebraic surfaces with extreme Chern numbers (Report on the thesis of Th. Höfer, Bonn 1984). Russian Mathematical Surveys, 40 (4). pp (79) 1986 Singularities of algebraic surfaces and characteristic numbers. In: The Lefschetz Centennial Conference. Part 1. Contemporary Mathematics, 58,1. AMS, Providence, RI, pp (80) 1987 (With Gottfried Barthel & Thomas Höfer) Geradenkonfigurationen und algebraische Flächen. Aspects of mathematics, D4. Vieweg, Braunschweig/Wiesbaden. ISBN (81) 1988 Laudatio auf Jacques Tits. In: Mathematische Betrachtungen. Bonner Akademische Reden, 68. Bouvier Verlag, Bonn, pp (82) 1989 Codierungstheorie und ihre Beziehung zu Geometrie und Zahlentheorie. Beiträge / Rheinisch- Westfälische Akademie der Wissenschaften, N 370. pp (83) 1990 Axiome, Definitionen, Begriffe in der Mathematik. Nova Acta Leopoldina, Neue Folge, 63 (272). pp (84) (With Thomas Höfer) On the Euler number of an orbifold. Mathematische Annalen, 286. pp (85) (With P. Slodowy) Elliptic genera, involutions, and homogeneous spin manifolds. Geometriae Dedicata, 35 (1-3). pp (86) 1992 Mannigfaltigkeiten und Modulformen. Jahresbericht der DMV, Jubiläumstag., 100 Jahre DMV, pp (87) (With Thomas Berger & Rainer Jung) Manifolds and modular forms. Vieweg, Wiesbaden. ISBN (88) 1997 Regular polyhedra and the football. Sugaku Tsushin. pp (89) 1998 (With Bodil Branner) An interview with Professor Friedrich Hirzebruch, Max-Planck-Institut für Mathematik, Bonn. EMS Newsletter, 29. pp (90) 1998 Kunihiko Kodaira: mathematician, friend, and teacher. Notices of the American Mathematical Society, 45 (11). pp (91) 1998 Learning complex analysis in Münster, Paris, Zürich and Princeton from 1945 to Mitteilungen der Deutschen Mathematiker-Vereinigung, 1998 (2). pp (92) 1999 On the Euler characteristic of manifolds with $c_1 = 0$. A letter to V. Gritsenko. Algebra and Analysis, 11 (5). pp (93) 1999 Complex cobordism and the elliptic genus. In: Algebraic geometry: Hirzebruch 70. Contemporary Mathematics, 241. AMS, Providence, RI, pp (94) 1999 Emmy Noether and topology. In: The heritage of Emmy Noether. Israel Mathematical Conference Proceedings, 12. Bar-Ilan University, Ramat-Gan, pp Friedrich Ernst Peter Hirzebruch 4

5 (95) 2000 Kunihiko Kodaira: mathematician, friend, and teacher. Kodaira's issue. Asian Journal of Mathematics, 4. v-viii. (96) 2000 The Atiyah-Bott-Singer fixed point theorem and number theory. In: Differential geometry: papers dedicated to Atiyah, Bott, Hirzebruch, and Singer. Surveys in differential geometry, 7. International Press, Cambridge/MA, pp (97) 2003 Wir sind für uns erfolgreich. In: Management by mathematics. Vieweg, Wiesbaden, pp ISBN (98) 2004 Armand Borel. Asian Journal of Mathematics, 51 (5). pp (99) 2005 The projective tangent bundles of a complex three-fold. Pure and Applied Mathematics Quarterly, 1 (3). pp (100) 2006 Gründungsgeschichte des Max-Planck-Instituts für Mathematik. Mitteilungen der Deutschen Mathematiker-Vereinigung, 14 (2). pp (101) (With Udo Simon) Nachruf auf Shiing-Shen Chern. Jahresbericht der DMV, 108 (8). pp (102) 2008 Eulerian polynomials. Münster Journal of Mathematics, 1 (1). pp (103) 2009 (With Matthias Kreck) On the concept of genus in topology and complex analysis. Notices of the American Mathematical Society, 56 (6). pp (104) 2010 Bericht über meine Zeit in der Schweiz in den Jahren In: math.ch/100: Schweizerische Mathematische Gesellschaft, EMS, Zürich, pp (105) (With Jean-Pierre Bourguignon & Reinhold Remmert) Cartan, Europe, and human rights. Notices of the AMS, 57 (8). pp (106) (With Peter D. Lax, Barry Mazur, Lawrence Conlon, Edward B. Curtis, Harold M. Edwards, Johannes Huebschmann & Herbert Schulman) Raoul Bott as we knew him. In: A celebration of the mathematical legacy of Raoul Bott. CRM Proceedings and Lecture Notes, 50. American Mathematical Society and Centre de Recherches Mathématiques, Boston, MA, USA, pp ISBN (107) 2011 Why do I like Chern, and why do I like Chern classes? Notices of the American Mathematical Society, 58 (9). pp (108) 2012 Welcome speech (extended). In: Advances in geometric analysis. Advanced lectures in mathematics, 21. International Press, Somerville, Mass., XI-XIII. Friedrich Ernst Peter Hirzebruch 5