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Instanton bundles vs Ulrich bundles on projective spaces

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Publication:2028010
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DOI10.1007/s13366-020-00506-7zbMath1469.14091OpenAlexW3035872352MaRDI QIDQ2028010

Laura Costa, Rosa Maria Miró-Roig

Publication date: 31 May 2021

Published in: Beiträge zur Algebra und Geometrie (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/s13366-020-00506-7


zbMATH Keywords

vector bundlesUlrich bundlesinstanton bundlesVeronese 3-fold


Mathematics Subject Classification ID

Vector bundles on surfaces and higher-dimensional varieties, and their moduli (14J60) Sheaves in algebraic geometry (14F06)


Related Items

\(H\)-instanton bundles on three-dimensional polarized projective varieties ⋮ Torsion free instanton sheaves on the blow-up of \(\mathbb{P}^n\) at a point ⋮ Instanton sheaves on projective schemes



Cites Work

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  • Gorenstein rings and modules with high numbers of generators
  • Some comments on the ADHM construction in 4k dimensions
  • Vector bundles on complex projective spaces
  • Instantons and algebraic geometry
  • An introduction to Ulrich bundles
  • Ulrich bundles. From commutative algebra to algebraic geometry
  • Ulrich Bundles on Veronese Surfaces
  • Yang-Mills fields on quaternionic spaces
  • Cohomology of a general instanton bundle
  • Resultants and Chow forms via exterior syzygies
  • Determinantal hypersurfaces.
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