Characteristic Cycles of Theta Sheaves

Teru Thomas

Research output: Working paper

Abstract

We extend from characteristic p to characteristic zero S. Lysenko’s theory of theta sheaves on the moduli stack of metaplectic bundles. The main tool is a ‘Fourier transform’ for semi-homogeneous sheaves on vector bundles. We then calculate the characteristic cycles of the theta sheaves, showing that they lie in a small part of the global nilpotent cone.
Original languageEnglish
Publication statusUnpublished - 2012

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