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Journal für die reine und angewandte Mathematik
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Characteristic cycles and the microlocal geometry of the Gauss map, II

Thomas Krämer 1
  • 1 Institut für Mathematik, Humboldt Universität zu Berlin, Unter den Linden 6, 10099, Berlin, Germany
Thomas Krämer
  • Corresponding author
  • Institut für Mathematik, Humboldt Universität zu Berlin, Unter den Linden 6, 10099, Berlin, Germany
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DOI:
https://doi.org/10.1515/crelle-2020-0048
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Published online:
09 Jan 2021

Abstract

We show that any Weyl group orbit of weights for the Tannakian group of semisimple holonomic 𝒟-modules on an abelian variety is realized by a Lagrangian cycle on the cotangent bundle. As applications we discuss a weak solution to the Schottky problem in genus five, an obstruction for the existence of summands of subvarieties on abelian varieties, and a criterion for the simplicity of the arising Lie algebras.

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Article information

Received:
2019-11-11
Revised:
2020-08-19
Published Online:
2021-01-09

Citation Information: 
Journal für die reine und angewandte Mathematik, 000010151520200048, eISSN 1435-5345, ISSN 0075-4102, DOI: https://doi.org/10.1515/crelle-2020-0048.

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Journal für die reine und angewandte Mathematik

Online ISSN:
1435-5345
First published:
01 Jan 1826
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