Friedrich Hirzebruch Gesammelte Abhandlungen Collected Papers

Science & Math

Friedrich Hirzebruch

Mathematics

Springer, Verlag

<p>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. Hirzebruch’s 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.</p>

Gesammelte Abhandlungen - Collected Papers I: 1951-1962 (English and German Edition)

Reference

Foreign Language Study & Reference

Springer

Topological Methods in Algebraic Geometry (Grundlehren der mathematischen Wissenschaften)

Su I (Japanese Edition)

Klaus Mainzer

Max Koecher

Reinhold Remmert

Heinz-Dieter Ebbinghaus

Jürgen Neukirch

Hans Hermes

Alexander Prestel

Paperback. Pub Date: November 2004 Pages: 234 in Publisher: World Publishing Company H. CARTAN and the J.-P. SERRE have shown how fundamental theoremson holomorphically complete manifolds (STEIN manifolds) can be for-mulated in terms of sheaf theory . These theorems imply many facts offunction theory because the domains of holomorphy are holomorphicallycomplete. They can also be applied to algeaic geometry because thecomplement of a hyperplane section of an algeaic manifold is holo-morphically complete. J.-P. SERRE has obtained important results onalgeaic manifolds by these and other methods. Recently many of hisresults have been proved for algeaic varieties defined over a field ofarbitrary characteristic. K. KODAIRA and DC SPENCER have alsoapplied sheaf theory to algeaic geometry with great success. Theirmethods differ from those of SERRE in that they use techniques fromdif...

Topological methods in algebraic geometry(Chinese Edition)

World Publishing Company

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