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Deformation of Artinian Algebras and Jordan Type
 
Edited by: Anthony Iarrobino :  Northeastern University, Boston, MA
Pedro Macias Marques :  University of Évora, Évora, Portugal
Maria Evelina Rossi :  University of Genoa, Genoa, Italy
Jean Vallès :  Université de Pau et des Pays de l’Adour, Pau, France
Softcover ISBN:  978-1-4704-7356-3
Product Code:  CONM/805
List Price: $135.00
MAA Member Price: $121.50
AMS Member Price: $108.00
eBook ISBN:  978-1-4704-7665-6
Product Code:  CONM/805.E
List Price: $129.00
MAA Member Price: $116.10
AMS Member Price: $103.20
Softcover ISBN:  978-1-4704-7356-3
eBook: ISBN:  978-1-4704-7665-6
Product Code:  CONM/805.B
List Price: $264.00 $199.50
MAA Member Price: $237.60 $179.55
AMS Member Price: $211.20 $159.60
Add to cart
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Deformation of Artinian Algebras and Jordan Type
Edited by: Anthony Iarrobino :  Northeastern University, Boston, MA
Pedro Macias Marques :  University of Évora, Évora, Portugal
Maria Evelina Rossi :  University of Genoa, Genoa, Italy
Jean Vallès :  Université de Pau et des Pays de l’Adour, Pau, France
Softcover ISBN:  978-1-4704-7356-3
Product Code:  CONM/805
List Price: $135.00
MAA Member Price: $121.50
AMS Member Price: $108.00
eBook ISBN:  978-1-4704-7665-6
Product Code:  CONM/805.E
List Price: $129.00
MAA Member Price: $116.10
AMS Member Price: $103.20
Softcover ISBN:  978-1-4704-7356-3
eBook ISBN:  978-1-4704-7665-6
Product Code:  CONM/805.B
List Price: $264.00 $199.50
MAA Member Price: $237.60 $179.55
AMS Member Price: $211.20 $159.60
Add to cart
  • Book Details
     
     
    Contemporary Mathematics
    Volume: 805; 2024; 250 pp
    MSC: Primary 13; 14

    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 Université 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.

    Readership

    Graduate students and research mathematicians interested in local Artinian algebras and deformations, as well as their connections with algebraic geometry, singularity theory, and combinatorics.
  • Table of Contents
     
     
    • Surveys
    • Joachim Jelisiejew — Open problems in deformations of Artinian algebras, Hilbert schemes and around
    • Leila Khatami — Commuting Jordan types: A survey
    • Chris McDaniel — A brief survey of Specht ideals and their perfection in the two-rowed case
    • Articles
    • Nancy 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 types
    • Elena Angelini, Luca Chiantini and Alessandro Oneto — Waring decompositions of special ternary forms with different Hilbert functions
    • Vincenzo Antonelli and Gianfranco Casnati — Some remarks on varieties whose twisted normal bundle is an instanton
    • Edoardo Ballico and Emanuele Ventura — On the Koiran-Skomra’s question about Hessians
    • Davide Bricalli and Filippo Francesco Favale — Standard Artinian algebras and Lefschetz properties: A geometric approach
    • Luca Chiantini and Fulvio Gesmundo — Decompositions and Terracini loci of cubic forms of low rank
    • Joan Elias and Maria Evelina Rossi — Almost finitely generated inverse systems and reduced $\mathbf {k}$-algebras
    • Roser Homs and Anna-Lena Winz — Deformations of local Artin rings via Hilbert-Burch matrices
    • Shreedevi 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 scheme
    • Liana M. Şega and Deepak Sireeshan — Dg module structures and minimal free resolutions modulo an exact zero divisor
  • Additional Material
     
     
  • Requests
     
     
    Review Copy – for publishers of book reviews
    Accessibility – to request an alternate format of an AMS title
Contemporary Mathematics
Volume: 805; 2024; 250 pp
MSC: Primary 13; 14

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 Université 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.

Readership

Graduate students and research mathematicians interested in local Artinian algebras and deformations, as well as their connections with algebraic geometry, singularity theory, and combinatorics.
  • Surveys
  • Joachim Jelisiejew — Open problems in deformations of Artinian algebras, Hilbert schemes and around
  • Leila Khatami — Commuting Jordan types: A survey
  • Chris McDaniel — A brief survey of Specht ideals and their perfection in the two-rowed case
  • Articles
  • Nancy 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 types
  • Elena Angelini, Luca Chiantini and Alessandro Oneto — Waring decompositions of special ternary forms with different Hilbert functions
  • Vincenzo Antonelli and Gianfranco Casnati — Some remarks on varieties whose twisted normal bundle is an instanton
  • Edoardo Ballico and Emanuele Ventura — On the Koiran-Skomra’s question about Hessians
  • Davide Bricalli and Filippo Francesco Favale — Standard Artinian algebras and Lefschetz properties: A geometric approach
  • Luca Chiantini and Fulvio Gesmundo — Decompositions and Terracini loci of cubic forms of low rank
  • Joan Elias and Maria Evelina Rossi — Almost finitely generated inverse systems and reduced $\mathbf {k}$-algebras
  • Roser Homs and Anna-Lena Winz — Deformations of local Artin rings via Hilbert-Burch matrices
  • Shreedevi 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 scheme
  • Liana M. Şega and Deepak Sireeshan — Dg module structures and minimal free resolutions modulo an exact zero divisor
Review Copy – for publishers of book reviews
Accessibility – to request an alternate format of an AMS title
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