Twenty-Four Hours of Local Cohomology (Graduate Studies in Mathematics) (Graduate Studies in Mathematics)
Publisher: American Mathematical Society; Brand: American Mathematical Society
Published: December 6, 2007
Language: eng
Format: Hardcover
Number of pages: 282
ISBN-13: 9780821841266
Subjects: Algebraic geometry; Algebraic topology; Fields & rings; Science / Mathematics; Advanced; Mathematics; Algebra, Homological; Group theory; Sheaf theory; Science/Mathematics
Description: "This book is aimed to provide an introduction to local cohomology which takes cognizance of the breadth of its interactions with other areas of mathematics. It covers topics such as the number of defining equations of algebraic sets, connectedness properties of algebraic sets, connections to sheaf cohomology and to de Rham cohomology, Grobner bases in the commutative setting as well as for D-modules, the Frobenius morphism and characteristic p methods, finiteness properties of local cohomology modules, semigroup rings and polyhedral geometry, and hypergeometric systems arising from semigroups." "The book begins with basic notions in geometry, sheaf theory, and homological algebra leading to the definition and basic properties of local cohomology. Then it develops the theory in a number of different directions, and draws connections with topology, geometry, combinatorics, and algorithmic aspects of the subject."--Jacket.