Illinois Journal of Mathematics

Frobenius amplitude, ultraproducts, and vanishing on singular spaces

Donu Arapura

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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.

Article information

Illinois J. Math., Volume 55, Number 4 (2011), 1367-1384.

First available in Project Euclid: 12 July 2013

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Mathematical Reviews number (MathSciNet)

Zentralblatt MATH identifier

Primary: 14F17: Vanishing theorems [See also 32L20] 03C20: Ultraproducts and related constructions


Arapura, Donu. Frobenius amplitude, ultraproducts, and vanishing on singular spaces. Illinois J. Math. 55 (2011), no. 4, 1367--1384.

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