Vanishing theorems for perverse sheaves on abelian varieties, revisited

• Bhargav Bhatt ^[1] ; Christian Schnell ^[2] ; Peter Scholze ^[3]
  1. [1] University of Michigan–Ann Arbor

     University of Michigan–Ann Arbor

     City of Ann Arbor, Estados Unidos

     
  2. [2] Stony Brook University

     Stony Brook University

     Town of Brookhaven, Estados Unidos

     
  3. [3] University of Bonn

     University of Bonn

     Kreisfreie Stadt Bonn, Alemania

     

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• Localización: Selecta Mathematica, New Series, ISSN 1022-1824, Vol. 24, Nº. 1, 2018, págs. 63-84
• Idioma: inglés
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• Resumen

  • We revisit some of the basic results of generic vanishing theory, as pioneered by Green and Lazarsfeld, in the context of constructible sheaves. Using the language of perverse sheaves, we give new proofs of some of the basic results of this theory. Our approach is topological/arithmetic, and avoids Hodge theory.