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Twenty-Four Hours of Local Cohomology by Srikanth B Iyengar

Twenty-Four Hours of Local Cohomology

by Srikanth B Iyengar
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Book cover type: Paperback
  • ISBN13: 9780821868836
  • Binding: Paperback
  • Subject: N/A
  • Publisher: Orient Blackswan Pvt Ltd
  • Publisher Imprint: Orient Blackswan Pvt Ltd
  • Publication Date:
  • Pages: 304
  • Original Price: INR 1845.0
  • Language: English
  • Edition: N/A
  • Item Weight: 499 grams
  • BISAC Subject(s): N/A

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, Gröbner 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.

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, and Uli Walther, Purdue University, West Lafayette, IN

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