A realization theorem for modules of constant Jordan type and vector bundles

DOI10.1090/S0002-9947-2012-05482-1zbMath1286.20009arXiv1007.3827OpenAlexW2025175113MaRDI QIDQ2844846

Julia Pevtsova, David John Benson

Publication date: 20 August 2013

Published in: Transactions of the American Mathematical Society (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1007.3827

zbMATH Keywords

vector bundleselementary Abelian groupscoherent sheavesChern numbersprojective varietiesmodules of constant Jordan type

Mathematics Subject Classification ID

Vector bundles on surfaces and higher-dimensional varieties, and their moduli (14J60) Modular representations and characters (20C20) Grassmannians, Schubert varieties, flag manifolds (14M15) Finite abelian groups (20K01) Group rings of finite groups and their modules (group-theoretic aspects) (20C05) Group schemes (14L15)

Related Items (14)

Support varieties and stable categories for algebraic groups ⋮ Modules of constant Jordan type, pullbacks of bundles and generic kernel filtrations ⋮ Endotrivial modules for nilpotent restricted Lie algebras ⋮ Modules of constant Jordan type and a conjecture of Rickard. ⋮ Representations of elementary Abelian \(p\)-groups and bundles on Grassmannians. ⋮ Support theory for Drinfeld doubles of some infinitesimal group schemes ⋮ Modules of constant Jordan type with two non-projective blocks. ⋮ Modules of constant Jordan type with small non-projective part. ⋮ Free \((\mathbb{Z} / p)^n\)-complexes and \(p\)-DG modules ⋮ Restricted modules and conjectures for modules of constant Jordan type. ⋮ Spectrum of group cohomology and support varieties ⋮ Elementary subalgebras of Lie algebras ⋮ Constructions for infinitesimal group schemes ⋮ Geometric invariants of representations of finite groups

Cites Work

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• A rank 2 vector bundle on P\(^4\) with 15,000 symmetries
• Constructions for infinitesimal group schemes
• Exact Category of Modules of Constant Jordan Type
• Modules of constant Jordan type

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