Elementary Counterexamples of Kodaira Vanishing in Prime Characteristic

Prabhakar Rao; N. Laurtizen

Elementary Counterexamples of Kodaira Vanishing in Prime Characteristic

University of Missouri-St. Louis

Research output: Contribution to journal › Article › peer-review

Abstract

Using methods from the modular representation theory of algebraic groups one can construct [1] a projective homogeneous space for SL 4 , in prime characteristic, which violates Kodaira vanishing. In this note we show how elementary algebraic geometry can be used to simplify and generalize this example.

Original language	American English
Journal	Proceedings of the Indian Academy of Sciences - Mathematical Sciences
Volume	107
State	Published - 1997

Disciplines

Physical Sciences and Mathematics

Cite this

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title = "Elementary Counterexamples of Kodaira Vanishing in Prime Characteristic",

abstract = " Using methods from the modular representation theory of algebraic groups one can construct [1] a projective homogeneous space for SL 4 , in prime characteristic, which violates Kodaira vanishing. In this note we show how elementary algebraic geometry can be used to simplify and generalize this example.",

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JO - Proceedings of the Indian Academy of Sciences - Mathematical Sciences

JF - Proceedings of the Indian Academy of Sciences - Mathematical Sciences

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Elementary Counterexamples of Kodaira Vanishing in Prime Characteristic

Abstract

Disciplines

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