BOOK

Foundations of Algebraic Geometry

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A landmark work in 20th-century mathematics, this text was written by André Weil to provide the first rigorous and self-contained foundation for algebraic geometry over arbitrary fields. Moving away from the intuitive but sometimes imprecise methods of the Italian school, Weil utilizes the theory of abstract fields and valuation theory to develop a systematic framework for algebraic varieties. The book introduces critical concepts such as intersection theory, divisors, and cycles, ultimately providing the tools necessary to prove the Riemann hypothesis for curves over finite fields. It remains a cornerstone of modern geometry, essential for understanding the transition from classical study to the modern language of schemes and varieties.

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Detail Information

Series Title

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Call Number

516.35 W447

Publisher

: American Mathematical Society (AMS)., 1962

Collation

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Language

English

ISBN/ISSN

0821810294

Classification

516.35

Content Type

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Media Type

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Carrier Type

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Edition

Revised and Enlarged Edition

Subject(s)

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Specific Detail Info

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Statement of Responsibility

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Other version/related

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