Algebraic curves and one-dimensional fields

Algebraic curves and one-dimensional fields

by Bogomolov, Fedor

Type Book
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Algebraic curves have many special properties that make their study particularly rewarding. As a result, curves provide a natural introduction to algebraic geometry. In this book, the authors also bring out aspects of curves that are unique to them and emphasize connections with algebra. This text covers the essential topics in the geometry of algebraic curves, such as line and vector bundles, the Riemann-Roch Theorem, divisors, coherent sheaves, and zeroth and first cohomology groups. The auth…

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Title Statements

  • Full title :Algebraic curves and one-dimensional fields / Fedor Bogomolov, Tihomir Petrov.

Summary

Algebraic curves have many special properties that make their study particularly rewarding. As a result, curves provide a natural introduction to algebraic geometry. In this book, the authors also bring out aspects of curves that are unique to them and emphasize connections with algebra. This text covers the essential topics in the geometry of algebraic curves, such as line and vector bundles, the Riemann-Roch Theorem, divisors, coherent sheaves, and zeroth and first cohomology groups. The authors make a point of using concrete examples and explicit methods to ensure that the style is clear an.

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Edition Statements

  • Publication Date:2002.

Publication Statements

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The Physical Object

  • Description:1 online resource

Edition Identifiers

  • ISBN:9781470431099, 1470431092
  • oclc:ocn956659005
  • LC Classification:QA567.2.S56
  • Dewey Decimal:516.3/52

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