Gesammelte Abhandlungen - Collected Papers II 1963 - 1987 [Paperback]

Friedrich Hirzebruch (1927 2012) was a German mathematician, working in the fields of topology, complex manifolds and algebraic geometry, and a leading figure of his generation. Hirzebruchs first great mathematical achievement was the proof, in 1954, of the generalization of the classical Riemann-Roch theorem to higher dimensional complex manifolds, now known as the Hirzebruch-Riemann-Roch theorem. This used the new techniques of sheaf cohomology and was one of the centerpieces of the explosion of new results in geometry and topology during the 1950s. Further generalization of this led to the Grothendieck-Riemann-Roch theorem, and the Atiyah-Singer index theorem. He received many awards and honors, including the Wolf prize in 1988, the Lobachevsky prize in 1990, and fifteen honorary doctorates. These two volumes collect the majority of his research papers, which cover a variety of topics.

?In zwei B?nden sind fast alle Ver?ffentlichungen enthalten, die F. Hirzebruch verfasst hat.

34. The topology of normal singularities of an algebraic surface (dapr?s un article de D. Mumford).- 36. Bericht ?ber Arbeiten am Mathematischen Institut der Universit?t Bonn.- 37. Elliptische Differentialoperatoren auf Mannigfaltigkeiten.- 38. ?ber Singularit?ten komplexer Fl?chen.- 39. Singularities and exotic spheres.- 40. Involutionen auf Mannigfaltigkeiten.- 41. (mit K. J?nich) Involutions and Singularities.- 42. The signature of ramified coverings.- 43.(mit M.F. Atiyah) Spin-manifolds and group actions.- 44. L?sung einer Aufgabe von H. Hasse.- 45. Free involutions on manifolds and some elementary number theory.- 46. Pontrjagin classes of rational homology manifolds and the signature of some affine hypersurfaces.- 47. The signature theorem: Reminiscences and recreation.- 48. The Hilbert modular group, resolution of the singularities at the cusps and related problems.- 49. (mit H. Behnke) In memoriam Heinz Hopf.- 50. The Hilbert modular group and l“ž