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Deformation of Artinian Algebras and Jordan Type.
・ISBN 978-1-4704-7356-3 paper US$ 135.00
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| 著者・編者 | Iarrobino, Anthony / Marques, Pedro Macias / Rossi, Maria Evelina / Valles, Jean (eds.), |
|---|---|
| シリーズ | Contemporary Mathematics |
| 出版社 | (American Mathematical Society, US) |
| 出版年月 | 2024 |
| ページ数 | 250 pp. |
| 言語 | ENG |
| ニュース番号 | ＜M25-14396＞ |
解説
This volume contains the proceedings of the AMS-EMS-SMF Special Session on Deformations of Artinian Algebras and Jordan Type, held July 18-22, 2022, at the Universite Grenoble Alpes, Grenoble, France.
Articles included are a survey and open problems on deformations and relation to the Hilbert scheme; a survey of commuting nilpotent matrices and their Jordan type; and a survey of Specht ideals and their perfection in the two-rowed case.
Other articles treat topics such as the Jordan type of local Artinian algebras, Waring decompositions of ternary forms, questions about Hessians, a geometric approach to Lefschetz properties, deformations of codimension two local Artin rings using Hilbert-Burch matrices, and parametrization of local Artinian algebras in codimension three. Each of the articles brings new results on the boundary of commutative algebra and algebraic geometry.
Articles included are a survey and open problems on deformations and relation to the Hilbert scheme; a survey of commuting nilpotent matrices and their Jordan type; and a survey of Specht ideals and their perfection in the two-rowed case.
Other articles treat topics such as the Jordan type of local Artinian algebras, Waring decompositions of ternary forms, questions about Hessians, a geometric approach to Lefschetz properties, deformations of codimension two local Artin rings using Hilbert-Burch matrices, and parametrization of local Artinian algebras in codimension three. Each of the articles brings new results on the boundary of commutative algebra and algebraic geometry.