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| Author | : H. Flenner |
| Publisher | : American Mathematical Society |
| Total Pages | : 124 |
| Release | : 2022-07-18 |
| Genre | : Mathematics |
| ISBN | : 1470453738 |
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| Author | : H. FLENNER; S. KALIMAN; M. ZAIDENBERG. |
| Publisher | : |
| Total Pages | : 0 |
| Release | : 2022 |
| Genre | : Cancellation theory (Group theory) |
| ISBN | : 9781470471712 |
| Author | : André Gil Henriques |
| Publisher | : American Mathematical Society |
| Total Pages | : 100 |
| Release | : 2023-02-13 |
| Genre | : Mathematics |
| ISBN | : 1470455404 |
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| Author | : François Ledrappier |
| Publisher | : American Mathematical Society |
| Total Pages | : 164 |
| Release | : 2023-01-18 |
| Genre | : Mathematics |
| ISBN | : 1470455420 |
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| Author | : Henri Berestycki |
| Publisher | : American Mathematical Society |
| Total Pages | : 282 |
| Release | : 2022-11-10 |
| Genre | : Mathematics |
| ISBN | : 1470454297 |
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| Author | : Jacob Bedrossian |
| Publisher | : American Mathematical Society |
| Total Pages | : 148 |
| Release | : 2022-08-31 |
| Genre | : Mathematics |
| ISBN | : 1470472252 |
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| Author | : Luchezar Stoyanov |
| Publisher | : American Mathematical Society |
| Total Pages | : 134 |
| Release | : 2023-03-09 |
| Genre | : Mathematics |
| ISBN | : 1470456257 |
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| Author | : Sebastian Casalaina-Martin |
| Publisher | : American Mathematical Society |
| Total Pages | : 112 |
| Release | : 2023-02-13 |
| Genre | : Mathematics |
| ISBN | : 1470460203 |
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| Author | : Guozhen Lu |
| Publisher | : American Mathematical Society |
| Total Pages | : 100 |
| Release | : 2023-01-18 |
| Genre | : Mathematics |
| ISBN | : 1470455374 |
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| Author | : Srikanth B. Iyengar |
| Publisher | : American Mathematical Society |
| Total Pages | : 108 |
| Release | : 2022-07-19 |
| Genre | : 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.
