Twenty-Four Hours of Local Cohomology
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€88.99
A01=Anton Leykin
A01=Claudia Miller
A01=Ezra Miller
A01=Graham J. Leuschke
A01=Srikanth B. Iyengar
Author_Anton Leykin
Author_Claudia Miller
Author_Ezra Miller
Author_Graham J. Leuschke
Author_Srikanth B. Iyengar
Category=PBF
Category=PBMW
eq_isMigrated=1
eq_isMigrated=2
eq_nobargain
Product details
- ISBN 9781470471590
- Publication Date: 01 Jan 2007
- Publisher: American Mathematical Society
- Publication City/Country: US
- Product Form: Paperback
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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.
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.
Srikanth B. Iyengar, University of Nebraska, Lincoln, NE.
Graham J. Leuschke, Syracuse University, NY.
Anton Leykin, Institute for Mathematics and Its Applications, Syracuse, NY.
Claudia Miller, Syracuse University, NY.
Ezra Miller, University of Minnesota, Minneapolis, MN.
Anurag K. Singh, University of Utah, Salt Lake City, UT.
Uli Walther, Purdue University, West Lafayette, IN.
Graham J. Leuschke, Syracuse University, NY.
Anton Leykin, Institute for Mathematics and Its Applications, Syracuse, NY.
Claudia Miller, Syracuse University, NY.
Ezra Miller, University of Minnesota, Minneapolis, MN.
Anurag K. Singh, University of Utah, Salt Lake City, UT.
Uli Walther, Purdue University, West Lafayette, IN.
