Ulrich Bundles: From Commutative Algebra to Algebraic Geometry

Laura Costa; Rosa María Miró-Roig; Joan Pons-Llopis

Published by De Gruyter 2021

Ulrich Bundles

From Commutative Algebra to Algebraic Geometry

Laura Costa , Rosa María Miró-Roig and Joan Pons-Llopis

Volume 77 in the series De Gruyter Studies in Mathematics

https://doi.org/10.1515/9783110647686

Overview
Contents

About this book

The goal of this book is to cover the active developments of arithmetically Cohen-Macaulay and Ulrich bundles and related topics in the last 30 years, and to present relevant techniques and multiple applications of the theory of Ulrich bundles to a wide range of problems in algebraic geometry as well as in commutative algebra.

An authoritative treatment of Ulrich bundles in algebraic geometry and commutative algebra
Presents several results scattered in the literature as well as techniques for further research
Of interest to graduate students and researchers alike

Author / Editor information

Laura Costa and Rosa Maria Miró-Roig, University of Barcelona, Spain; Joan Pons-Llopis, University of L’Aquila, Italy.

Topics

Frontmatter Publicly Available Download PDF	I
Contents Publicly Available Download PDF	VII
Introduction Publicly Available Download PDF	IX
Acknowledgment Publicly Available Download PDF	XVII
Notation Publicly Available Download PDF	XIX
1 Background Requires Authentication Unlicensed Licensed Download PDF	1
2 Vector bundles without intermediate cohomology Requires Authentication Unlicensed Licensed Download PDF	17
3 Ulrich bundles Requires Authentication Unlicensed Licensed Download PDF	47
4 Ulrich bundles on complete intersections Requires Authentication Unlicensed Licensed Download PDF	69
5 Ulrich bundles on surfaces Requires Authentication Unlicensed Licensed Download PDF	99
6 Intersection of two quadrics: an example Requires Authentication Unlicensed Licensed Download PDF	157
7 Ulrich bundles on higher-dimensional varieties Requires Authentication Unlicensed Licensed Download PDF	173
A Categories and derived categories Requires Authentication Unlicensed Licensed Download PDF	239
Bibliography Requires Authentication Unlicensed Licensed Download PDF	249
Index Requires Authentication Unlicensed Licensed Download PDF	259
E1 Erratum to: Introduction Requires Authentication Unlicensed Licensed Download PDF	265
E2 Erratum to: Chapter 5 Ulrich bundles on surfaces Requires Authentication Unlicensed Licensed Download PDF	267
E3 Erratum to: Chapter 7 Ulrich bundles on higher-dimensional varieties Requires Authentication Unlicensed Licensed Download PDF	269
E4 Erratum to: Bibliography Requires Authentication Unlicensed Licensed Download PDF	271

(Deutsch)

Language: English
Publisher: De Gruyter
Audience: Graduate students and researchers in algebraic geometry and commutative algebra.
Pages
- Front matter: 18
- Main content: 264
Illustrations
- Illustrations: 11
Keywords: Arithmetische Geometrie; Kommutative Algebra; Projektive Varietät; Vektorraumbündel

eBook

Published: May 10, 2021
ISBN: 9783110647686

Hardcover

Published: May 10, 2021
ISBN: 9783110645408