Deformation of Artinian Algebras and Jordan Type

Häftad, Engelska, 2024

AvAnthony Iarrobino,Pedro Macias Marques,Maria Evelina Rossi,Jean Valles

1 939 kr

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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.

Produktinformation

Utgivningsdatum2024-10-31
Mått178 x 254 x undefined mm
FormatHäftad
SpråkEngelska
SerieContemporary Mathematics
Antal sidor250
FörlagAmerican Mathematical Society
ISBN9781470473563

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Algebra inom Naturvetenskap och teknik
Matematik inom Naturvetenskap och teknik

SurveysJoachim Jelisiejew, Open problems in deformations of Artinian algebras, Hilbert schemes and aroundLeila Khatami, Commuting Jordan types: A surveyChris McDaniel, A brief survey of Specht ideals and their perfection in the two-rowed caseArticlesNancy Abdallah, A note on Artin Gorenstein algebras with Hilbert function $(1,4,k,k,4,1)$Nasrin Altafi, A note on Jordan types and Jordan degree typesElena Angelini, Luca Chiantini and Alessandro Oneto, Waring decompositions of special ternary forms with different Hilbert functionsVincenzo Antonelli and Gianfranco Casnati, Some remarks on varieties whose twisted normal bundle is an instantonEdoardo Ballico and Emanuele Ventura, On the Koiran-Skomra's question about HessiansDavide Bricalli and Filippo Francesco Favale, Standard Artinian algebras and Lefschetz properties: A geometric approachLuca Chiantini and Fulvio Gesmundo, Decompositions and Terracini loci of cubic forms of low rankJoan Elias and Maria Evelina Rossi, Almost finitely generated inverse systems and reduced $\mathbf {k}$-algebrasRoser Homs and Anna-Lena Winz, Deformations of local Artin rings via Hilbert-Burch matricesShreedevi K. Masuti, The Hilbert function of local Artinian level algebras of codimension $3$ and type $2$Bernard Mourrain, Isolated singularities, inverse systems and the punctual Hilbert schemeLiana M. Sega and Deepak Sireeshan, Dg module structures and minimal free resolutions modulo an exact zero divisor