Characteristic Cycles of Theta Sheaves

Teru Thomas

Characteristic Cycles of Theta Sheaves

Teru Thomas

School of Mathematics

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 language	English
Publication status	Unpublished - 2012

Fingerprint Dive into the research topics of 'Characteristic Cycles of Theta Sheaves'. Together they form a unique fingerprint.

Cite this

@techreport{8ce18ec4617e43729ce519c94b44ed3b,

title = "Characteristic Cycles of Theta Sheaves",

abstract = "We extend from characteristic p to characteristic zero S. Lysenko{\textquoteright}s theory of theta sheaves on the moduli stack of metaplectic bundles. The main tool is a {\textquoteleft}Fourier transform{\textquoteright} 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.",

author = "Teru Thomas",

year = "2012",

language = "English",

type = "WorkingPaper",

}

TY - UNPB

T1 - Characteristic Cycles of Theta Sheaves

AU - Thomas, Teru

PY - 2012

Y1 - 2012

N2 - 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.

AB - 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.

M3 - Working paper

BT - Characteristic Cycles of Theta Sheaves

ER -