In recent years new topological methods, especially the theory of sheaves founded by J. LERAY, have been applied successfully to algebraic geometry and to the theory of functions of several complex variables. H. CARTAN and J. -P. SERRE have shown how fundamental theorems on holomorphically complete manifolds (STEIN manifolds) can be for mulated in terms of sheaf theory. These theorems imply many facts of function theory because the domains of holomorphy are holomorphically complete. They can also be applied to algebraic geometry because the complement of a hyperplane section of an algebraic manifold is holo morphically complete. J. -P. SERRE has obtained important results on algebraic manifolds by these and other methods. Recently many of his results have been proved for algebraic varieties defined over a field of arbitrary characteristic. K. KODAIRA and D. C. SPENCER have also applied sheaf theory to algebraic geometry with great success. Their methods differ from those of SERRE in that they use techniques from differential geometry (harmonic integrals etc. ) but do not make any use of the theory of STEIN manifolds. M. F. ATIYAH and W. V. D. HODGE have dealt successfully with problems on integrals of the second kind on algebraic manifolds with the help of sheaf theory. I was able to work together with K. KODAIRA and D. C. SPENCER during a stay at the Institute for Advanced Study at Princeton from 1952 to 1954.

*"synopsis" may belong to another edition of this title.*

**Biography of Friedrich Hirzebruch**

Friedrich Hirzebruch was born on October 17, 1927 in Hamm, Germany. He studied mathematics at the University of Münster and the ETH Zürich, under Heinrich Behnke and Heinz Hopf.

Shortly after the award of his doctoral degree in 1950, he obtained an assistantship in Erlangen and then a membership at the Institute for Advanced Study, Princeton, followed by an assistant professorship at Princeton University. In 1956 he returned to Germany to a chair at the University of Bonn, which he held until his retirement in 1993. Since 1980 he has been the Director of the Max Planck Institute for Mathematics in Bonn.

Hirzebruch's work has been fundamental in combining topology, algebraic and differential geometry and number theory. It has had a deep and far-reaching influence on the work of many others, who have expanded and generalized his ideas. His most famous result is the theorem of Riemann-Roch-Hirzebruch.

*"About this title" may belong to another edition of this title.*

Published by
Springer, BerlinNew York
(1978)

ISBN 10: 3540035257
ISBN 13: 9783540035251

Used
Hardcover
Quantity Available: 1

Seller

Rating

**Book Description **Springer, BerlinNew York, 1978. hardcover. Book Condition: Good. N/A. Former Library book. Shows some signs of wear, and may have some markings on the inside. 1st Corrected ed. 1995. Corr. 2nd printing 0. Bookseller Inventory # GRP88273560

More Information About This Seller | Ask Bookseller a Question

Published by
Springer
(1995)

ISBN 10: 3540035257
ISBN 13: 9783540035251

Used
Hardcover
Quantity Available: 1

Seller

Rating

**Book Description **Springer, 1995. Hardcover. Book Condition: Good. Bookseller Inventory # mon0001573060

More Information About This Seller | Ask Bookseller a Question

Published by
Springer, China
(2004)

ISBN 10: 3540035257
ISBN 13: 9783540035251

Used
Trade Paperback
Quantity Available: 1

Seller

Rating

**Book Description **Springer, China, 2004. Trade Paperback. Book Condition: As New. No Jacket. 12mo - over 6¾" - 7¾" tall. This is an international edition Brand New PAPERBACK expedite delivery. Bookseller Inventory # 000455

More Information About This Seller | Ask Bookseller a Question

Published by
Springer 1995-02-15
(1995)

ISBN 10: 3540035257
ISBN 13: 9783540035251

Used
Hardcover
Quantity Available: 1

Seller

Rating

**Book Description **Springer 1995-02-15, 1995. Hardcover. Book Condition: good. 3rd Enlarged Edition. 3540035257. Bookseller Inventory # 688591

More Information About This Seller | Ask Bookseller a Question