Algebraic geometry and arithmetic curves / Qing Liu ; translated by Reinie Erne.

Format:

Book

Author/Creator:

Liu, Qing, 1963 July-, author.

Series:

Oxford graduate texts in mathematics ; 6.

Oxford scholarship online.

Oxford graduate texts in mathematics ; 6

Oxford scholarship online

Language:

English

Subjects (All):

Curves, Algebraic.

Arithmetical algebraic geometry.

Physical Description:

1 online resource (594 p.)

Edition:

1st ed.

Place of Publication:

Oxford : Oxford University Press, 2023.

Language Note:

English

Summary:

This work offers a general introduction to the theory of schemes, followed by applications to arithmetic surfaces and to the theory of reduction of algebraic curves.

Contents:

Contents; 1 Some topics in commutative algebra; 2 General properties of schemes; 3 Morphisms and base change; 4 Some local properties; 5 Coherent sheaves and Cech cohomology; 6 Sheaves of differentials; 7 Divisors and applications to curves; 8 Birational geometry of surfaces; 9 Regular surfaces; 10 Reduction of algebraic curves; Bibliography; Index

Notes:

Includes index.

Translated from the French

Previously issued in print: 2002.

Includes bibliographical references and index.

Derived record based on print version record and publisher information.

Description based on publisher supplied metadata and other sources.

ISBN:

1-383-02049-3

0-19-850284-2

1-281-34139-8

0-19-154780-8

OCLC:

609829926