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GL-algebras in positive characteristic I: the exterior algebra

  • Karthik Ganapathy [1]
    1. [1] University of Michigan–Ann Arbor

      University of Michigan–Ann Arbor

      City of Ann Arbor, Estados Unidos

  • Localización: Selecta Mathematica, New Series, ISSN 1022-1824, Vol. 30, Nº. 4, 2024, págs. 1-33
  • Idioma: inglés
  • DOI: 10.1007/s00029-024-00960-4
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  • Resumen

    • We study the category of GL-equivariant modules over the infinite exterior algebra in positive characteristic. Our main structural result is a shift theorem à la Nagpal. Using this, we obtain a Church–Ellenberg type bound for the Castelnuovo–Mumford regularity. We also prove finiteness results for local cohomology

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