Local Cohomology and Its Applications: 1st Edition (Paperback) book cover

Local Cohomology and Its Applications

1st Edition

Edited by Gennady Lybeznik

CRC Press

358 pages

Purchasing Options:$ = USD
Paperback: 9780824707415
pub: 2001-10-18
Hardback: 9781138402133
pub: 2018-03-29
eBook (VitalSource) : 9780429175633
pub: 2001-10-18
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This volume collects presentations from the international workshop on local cohomology held in Guanajuato, Mexico, including expanded lecture notes of two minicourses on applications in equivariant topology and foundations of duality theory, and chapters on finiteness properties, D-modules, monomial ideals, combinatorial analysis, and related topics. Featuring selected papers from renowned experts around the world, Local Cohomology and Its Applications is a provocative reference for algebraists, topologists, and upper-level undergraduate and graduate students in these disciplines.


"This book presents recent developments and applications of Grothendieck's local cohomology theory. … [It] will be of considerable interest to algebraists and geometers, and also to topologists and specialists working in combinatorics and the theory of D-modules."

- EMS Newsletter, Sept. 2003

Table of Contents

The minicourses: local cohomology in equivariant topology; lectures on local cohomology and duality. Other papers: cohomological invariants of coherent sheaves over projective schemes - a survey; a partial survey of local cohomology; p-torsion elements in local cohomology modules II; algorithms for associated primes, Weyl closure, and local cohomology in Macaulay 2; square-free modules and local cohomology modules at monomial ideals; graded Greenlees-May duality and the Cech Hull; residue methods in combinatorial analysis.

About the Series

Lecture Notes in Pure and Applied Mathematics

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Subject Categories

BISAC Subject Codes/Headings:
MATHEMATICS / Algebra / General