This text examines topological methods in algebraic geometry.
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Book Description
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Language Notes
Text: English (translation)
Original Language: German
Original Language: German
About the Author
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.
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Inside This Book
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Key Phrases - Statistically Improbable Phrases (SIPs):
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complex analytic vector bundle, complex analytic fibre bundle, complex analytic line bundles, canonical presheaf, compact oriented differentiable manifold, complex analytic homeomorphisms, connected structure group, arbitrary compact complex manifolds, integrality theorems, analytic vector bundles, analytic sheaf, continuous vector bundles, admissible chart, characteristic power series, local holomorphic functions, cobordism ring, local holomorphic sections, oriented differentiable manifolds, algebraic sheaves, difference bundle, complex analytic case, analytic sheaves, multiplicative sequence, split manifold, algebraic manifolds New!
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complex analytic vector bundle, complex analytic fibre bundle, complex analytic line bundles, canonical presheaf, compact oriented differentiable manifold, complex analytic homeomorphisms, connected structure group, arbitrary compact complex manifolds, integrality theorems, analytic vector bundles, analytic sheaf, continuous vector bundles, admissible chart, characteristic power series, local holomorphic functions, cobordism ring, local holomorphic sections, oriented differentiable manifolds, algebraic sheaves, difference bundle, complex analytic case, analytic sheaves, multiplicative sequence, split manifold, algebraic manifolds New!
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Front Cover | Table of Contents | First Pages | Index | Back Cover | Surprise Me!
Citations (learn more)
This book cites 3
books:
84
books
cite this book:
See all 84 books citing this book
- Algebraic Geometry (Dover Books on Mathematics) by Solomon Lefschetz in Back Matter
- Fibre Bundles by Dale Husemöller in Back Matter
- Topological Methods in Algebraic Geometry (Ergebnisse Der Mathematik Und Ihrer Grenzgebiete 131) Second, Corrected Printing of the Third Edition by R. Hirzebruch in Front Matter
- Topology I: General Survey (Encyclopaedia of Mathematical Sciences) (v. 1) by S.P. Novikov in Back Matter (1), and Back Matter (2)
- Topological Topics: Articles on Algebra and Topology Presented to Professor P J Hilton in Celebration of his Sixtieth Birthday (London Mathematical Society Lecture Note Series) by I. M. James on page 87
- Problems and Theorems in Analysis I: Series, Integral Calculus, Theory of Functions (Classics in Mathematics) by George Polya in Back Matter
- Lectures on Closed Geodesics (Grundlehren der mathematischen Wissenschaften) by W. Klingenberg in Back Matter
- Differential Analysis on Complex Manifolds (Graduate Texts in Mathematics, Vol 65) by Raymond O'Neil Wells in Back Matter
See all 84 books citing this book
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