Bøger af Friedrich Hirzebruch

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.

The present volume contains Friedrich Hirzebruch's works from 1987 until 2012. It is the continuation of the two volumes "Friedrich Hirzebruch, Gesammelte Abhandlungen", published by Springer-Verlag in 1987. The volume, edited by Joachim Schwermer, Silke Wimmer-Zagier and Don Zagier, includes all of Friedrich Hirzebruch's mathematical publications from this period as well as two lecture reports written by him. These are supplemented by a number of articles and addresses containing historical or biographical material, as well as obituaries or appreciations of people who were mathematically or personally close to him.

"A publication of the Max-Planck-Institut f'ur Mathematik, Bonn."

They can also be applied to algebraic geometry because the complement of a hyperplane section of an algebraic manifold is holo morphically complete. HODGE have dealt successfully with problems on integrals of the second kind on algebraic manifolds with the help of sheaf theory.