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Author : François Charest
Publisher : American Mathematical Society
Page : 178 pages
File Size : 25,76 MB
Release : 2022-08-31
Category : Mathematics
ISBN : 147045310X
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Author : Srikanth B. Iyengar
Publisher : American Mathematical Society
Page : 108 pages
File Size : 11,73 MB
Release : 2022-07-19
Category : Mathematics
ISBN : 1470471590
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.
Author : Sebastian Casalaina-Martin
Publisher : American Mathematical Society
Page : 112 pages
File Size : 50,96 MB
Release : 2023-02-13
Category : Mathematics
ISBN : 1470460203
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Author : André Gil Henriques
Publisher : American Mathematical Society
Page : 100 pages
File Size : 41,17 MB
Release : 2023-02-13
Category : Mathematics
ISBN : 1470455404
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Author : François Ledrappier
Publisher : American Mathematical Society
Page : 164 pages
File Size : 35,2 MB
Release : 2023-01-18
Category : Mathematics
ISBN : 1470455420
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Author : Henri Berestycki
Publisher : American Mathematical Society
Page : 282 pages
File Size : 38,51 MB
Release : 2022-11-10
Category : Mathematics
ISBN : 1470454297
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Author : Luchezar Stoyanov
Publisher : American Mathematical Society
Page : 134 pages
File Size : 24,23 MB
Release : 2023-03-09
Category : Mathematics
ISBN : 1470456257
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Author : Guozhen Lu
Publisher : American Mathematical Society
Page : 100 pages
File Size : 25,86 MB
Release : 2023-01-18
Category : Mathematics
ISBN : 1470455374
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Author : Jang Soo Kim
Publisher : American Mathematical Society
Page : 100 pages
File Size : 22,75 MB
Release : 2023-03-09
Category : Mathematics
ISBN : 1470459949
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Author : Chris Kottke
Publisher : American Mathematical Society
Page : 124 pages
File Size : 47,17 MB
Release : 2022-11-10
Category : Mathematics
ISBN : 1470455412
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