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- W4310692169 abstract "We propose two new approaches to the Tannakian Galois groups of holonomic D-modules on abelian varieties. The first is an interpretation in terms of principal bundles given by the Fourier-Mukai transform, which shows that they are almost connected. The second constructs a microlocalization functor relating characteristic cycles to Weyl group orbits of weights. This explains the ubiquity of minuscule representations, and we illustrate it with a Torelli theorem and with a bound for decompositions of a given subvariety as a sum of subvarieties. The appendix sketches a twistor variant that may be useful for D-modules not coming from Hodge theory." @default.
- W4310692169 created "2022-12-15" @default.
- W4310692169 creator A5070124612 @default.
- W4310692169 date "2016-04-08" @default.
- W4310692169 modified "2023-10-03" @default.
- W4310692169 title "Characteristic cycles and the microlocal geometry of the Gauss map, I" @default.
- W4310692169 doi "https://doi.org/10.48550/arxiv.1604.02389" @default.
- W4310692169 hasPublicationYear "2016" @default.
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