Open Access
Winter 2011 Frobenius amplitude, ultraproducts, and vanishing on singular spaces
Donu Arapura
Illinois J. Math. 55(4): 1367-1384 (Winter 2011). DOI: 10.1215/ijm/1373636688

Abstract

A general Akizuki–Kodaira–Nakano vanishing theorem is proved for a singular complex projective variety by positive characteristic techniques. The passage to characteristic zero is handled using ultraproducts.

Citation

Download Citation

Donu Arapura. "Frobenius amplitude, ultraproducts, and vanishing on singular spaces." Illinois J. Math. 55 (4) 1367 - 1384, Winter 2011. https://doi.org/10.1215/ijm/1373636688

Information

Published: Winter 2011
First available in Project Euclid: 12 July 2013

zbMATH: 1315.14026
MathSciNet: MR3082873
Digital Object Identifier: 10.1215/ijm/1373636688

Subjects:
Primary: 03C20 , 14F17

Rights: Copyright © 2011 University of Illinois at Urbana-Champaign

Vol.55 • No. 4 • Winter 2011
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