Algebraic curves and one-dimensional fields

Algebraic curves and one-dimensional fields

by Bogomolov, Fedor

Type Book
Rate 0.0 /5

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. It demonstrates how curves can act as a natural introduction to algebraic geometry.

Read More ↓
Details
Files
Reviews
Download

Title Statements

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

Summary

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. It demonstrates how curves can act as a natural introduction to algebraic geometry.

Read More ↓

Edition Statements

  • Publication Date:©2002.

Publication Statements

The Physical Object

  • Description:xi, 214 pages ; : 26 cm.

Edition Identifiers

  • ISBN:0821828622, 9780821828625
  • oclc:ocm50417304
  • LC Classification:QA567.2.S56
  • Dewey Decimal:516.3/52

Table of Contents

Ch. 1. Algebraic Preliminaries -- Ch. 2. From Algebra to Geometry -- Ch. 3. Geometry of Dimension One -- Ch. 4. Divisors and Line Bundles -- Ch. 5. Vector Bundles, Coherent Sheaves, and Cohomology -- Ch. 6. Vector Bundles on P[superscript 1] -- Ch. 7. General Theory of Curves -- Ch. 8. Elliptic Curves -- Ch. 9. The Riemann-Roch Theorem -- Ch. 10. Curves over Arithmetic Fields.

Read More ↓

Subjects

Courbes affines lisses Courbes algébriques Courbes projectives Curves, Algebraic Géométrie algébrique Projective curves Smooth affine curves

Writers

Bogomolov, Fedor Petrov, Tihomir

More from this Series

Rate & Review

0.0/5
(0 people Voted)

No reviews yet. Be the first to rate this work.

Files & Downloads

  • Algebraic Curves and One-Dimensional Fields -- (.…

    PDF · 46.1 MB · updated
    Login →

  • Algebraic Curves and One-Dimensional Fields -- (.…

    DJVU · 2.5 MB · updated
    Login →

  • Algebraic Curves and One-Dimensional Fields -- (.…

    DJVU · 2.5 MB · updated
    Login →
Log in to request a copy