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Mathematics > Algebraic Geometry

arXiv:1807.01929 (math)
[Submitted on 5 Jul 2018 (v1), last revised 4 Nov 2019 (this version, v2)]

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

Authors:Thomas Krämer
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Abstract:We show that for the reductive Tannaka groups of semisimple holonomic $\mathscr{D}$-modules on abelian varieties, every Weyl group orbit of weights of their universal cover is realized by a conic Lagrangian cycle on the cotangent bundle. Applications include 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.
Comments: 38 pages, comments welcome
Subjects: Algebraic Geometry (math.AG); Algebraic Topology (math.AT); Representation Theory (math.RT)
MSC classes: 14K12 (Primary) 14F10, 18D10, 20G05 (Secondary)
Cite as: arXiv:1807.01929 [math.AG]
  (or arXiv:1807.01929v2 [math.AG] for this version)
  https://doi.org/10.48550/arXiv.1807.01929
Journal reference: J. reine angew. Mathematik 774 (2021) 53-92
Related DOI: https://doi.org/10.1515/crelle-2020-0048

Submission history

From: Thomas Krämer [view email]
[v1] Thu, 5 Jul 2018 10:11:38 UTC (35 KB)
[v2] Mon, 4 Nov 2019 01:31:23 UTC (45 KB)
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