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Characteristic cycles and the microlocal...

Krämer, Thomas...

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Characteristic cycles and the microlocal geometry of the Gauss map, I by Krämer, Thomas ( Author )

Content Provider	Lemonjar Open Access
Publisher	Australian National University
Publication Date	08-08-2023
Summary	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.
ISBN	-
Item Type	Article
File Type	pdf
File Size	29.34 KB
Language	English
Subjects	-
Unlimited	MYR 0.01
Total read	-
URL	http://arxiv.org/abs/1604.02389

Citation

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AMA 11th EditionReferences

Krämer, Thomas. Characteristic cycles and the microlocal geometry of the Gauss map, I. Australian National University. August 08, 2023. Accessed October 02, 2025. https://online.provdatabase.com/cite/12993

APA 7th EditionReferences

Krämer, Thomas. (2023). Characteristic cycles and the microlocal geometry of the Gauss map, I. Australian National University. https://online.provdatabase.com/cite/12993

Chicago 17th EditionReferences

Krämer, Thomas. Characteristic cycles and the microlocal geometry of the Gauss map, I. Australian National University. 2023. https://online.provdatabase.com/cite/12993

HarvardReferences

Krämer, Thomas. (2023). Characteristic cycles and the microlocal geometry of the Gauss map, I. [Online]. Australian National University. Available from: https://online.provdatabase.com/cite/12993. (Accessed 02 October 2025).

Harvard AustraliaReferences

Krämer, Thomas, 2023, Characteristic cycles and the microlocal geometry of the Gauss map, I, Australian National University, viewed 02 October 2025, <https://online.provdatabase.com/cite/12993>

MLA 9th EditionWorks Cited

Krämer, Thomas. Characteristic cycles and the microlocal geometry of the Gauss map, I. Australian National University, 2023. PROV Database, https://online.provdatabase.com/cite/12993.

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