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.
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.
"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