Characteristic cycles and the microlocal geometry of the Gauss map, II
We show that any Weyl group orbit of weights for the Tannakian group of semisimple holonomic -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...
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| Published in | Journal für die reine und angewandte Mathematik Vol. 2021; no. 774; pp. 53 - 92 |
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| Main Author | |
| Format | Journal Article |
| Language | English |
| Published |
De Gruyter
01.05.2021
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| Online Access | Get full text |
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| Summary: | We show that any Weyl group orbit of weights for the Tannakian group of semisimple holonomic
-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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| ISSN: | 0075-4102 1435-5345 |
| DOI: | 10.1515/crelle-2020-0048 |