Algebraic Curves and One-Dimensional Fields

Algebraic Curves and One-Dimensional Fields
Author: Fedor Bogomolov
Publisher: American Mathematical Soc.
Total Pages: 229
Release: 2002
Genre: Mathematics
ISBN: 0821828622
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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.


Algebraic Curves and One-Dimensional Fields
Language: en
Pages: 229

Algebraic Curves and One-Dimensional Fields

Authors: Fedor Bogomolov
Categories: Mathematics
Type: BOOK - Published: 2002 - Publisher: American Mathematical Soc.

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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
Algebraic Curves over a Finite Field
Language: en
Pages: 717

Algebraic Curves over a Finite Field

Authors: J. W. P. Hirschfeld
Categories: Mathematics
Type: BOOK - Published: 2013-03-25 - Publisher: Princeton University Press

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This book provides an accessible and self-contained introduction to the theory of algebraic curves over a finite field, a subject that has been of fundamental i
Singular Algebraic Curves
Language: en
Pages: 553

Singular Algebraic Curves

Authors: Gert-Martin Greuel
Categories: Mathematics
Type: BOOK - Published: 2018-12-30 - Publisher: Springer

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Singular algebraic curves have been in the focus of study in algebraic geometry from the very beginning, and till now remain a subject of an active research rel
Algebraic Curves
Language: en
Pages: 120

Algebraic Curves

Authors: William Fulton
Categories: Mathematics
Type: BOOK - Published: 2008 - Publisher:

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The aim of these notes is to develop the theory of algebraic curves from the viewpoint of modern algebraic geometry, but without excessive prerequisites. We hav
Algebraic Curves and Riemann Surfaces
Language: en
Pages: 414

Algebraic Curves and Riemann Surfaces

Authors: Rick Miranda
Categories: Mathematics
Type: BOOK - Published: 1995 - Publisher: American Mathematical Soc.

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In this book, Miranda takes the approach that algebraic curves are best encountered for the first time over the complex numbers, where the reader's classical in