Ulrich and aCM bundles from invariant theory

DOI10.1080/00927872.2018.1495222zbMath1436.14082arXiv1803.07857OpenAlexW2962876494WikidataQ128571949 ScholiaQ128571949MaRDI QIDQ4634372

Laurent Manivel

Publication date: 8 May 2019

Published in: Communications in Algebra (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1803.07857

zbMATH Keywords

algebraic groupshypersurfaceinvariant theoryarithmetically Cohen-Macaulay bundleUlrich bundle

Mathematics Subject Classification ID

Vector bundles on surfaces and higher-dimensional varieties, and their moduli (14J60) Representation theory for linear algebraic groups (20G05) Exceptional groups (20G41) Sheaves in algebraic geometry (14F06)

Related Items (4)

Ulrich bundles on cubic fourfolds ⋮ Unnamed Item ⋮ An explicit matrix factorization of cubic hypersurfaces of small dimension ⋮ Gradings of Lie algebras, magical spin geometries and matrix factorizations

Cites Work

• On the collapsing of homogeneous bundles
• An introduction to Ulrich bundles
• Non-arithmetically Cohen-Macaulay schemes of wild representation type
• Cohen-Macaulay modules on hypersurface singularities. II
• On quartic double fivefolds and the matrix factorizations of exceptional quaternionic representations
• Ulrich bundles on quartic surfaces with Picard number 1
• The representation type of determinantal varieties
• \(n\)-dimensional Fano varieties of wild representation type
• STABLE ULRICH BUNDLES
• aCM sheaves on the double plane
• Ulrich bundles on smooth projective varieties of minimal degree
• On cubic hypersurfaces of dimensions 7 and 8
• The projective geometry of Freudenthal's magic square.
• Determinantal hypersurfaces.

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