Characteristic cycles and the microlocal geometry of the Gauss map, II-Reference-Cited by-同舟云学术

Characteristic cycles and the microlocal geometry of the Gauss map, II

Published:2021-01-09 Issue:774 Volume:2021 Page:53-92
ISSN:0075-4102
Container-title:Journal für die reine und angewandte Mathematik (Crelles Journal)
language:en
Short-container-title:

Author:

Krämer Thomas¹

Affiliation:

1. Institut für Mathematik , Humboldt Universität zu Berlin , Unter den Linden 6, 10099 Berlin , Germany

Abstract

Abstract We show that any Weyl group orbit of weights for the Tannakian group of semisimple holonomic 𝒟

{{\mathscr{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.

Publisher

Walter de Gruyter GmbH

Subject

Applied Mathematics,General Mathematics

Link

https://www.degruyter.com/document/doi/10.1515/crelle-2020-0048/pdf

Reference49 articles.

1. A. Andreotti and A. L. Mayer, On period relations for abelian integrals on algebraic curves, Ann. Sc. Norm. Super. Pisa Cl. Sci. (3) 21 (1967), 189–238.

2. M. F. Atiyah and D. O. Tall, Group representations, λ-rings and the J-homomorphism, Topology 8 (1969), 253–297.

3. A. A. Beĭlinson, J. Bernstein and P. Deligne, Faisceaux pervers, Analysis and topology on singular spaces, I (Luminy 1981), Astérisque 100, Soc. Math. France, Paris (1982), 5–171.

4. C. Birkenhake and H. Lange, Complex abelian varieties, 2nd ed., Grundlehren Math. Wiss. 302, Springer, Berlin 2004.

5. T. Bröcker and T. tom Dieck, Representations of compact Lie groups, Grad. Texts in Math. 98, Springer, New York 1985.

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