Frobenius splitting
id:
frobenius-splitting-237-11191891
title:
Frobenius splitting
text:
In mathematics, a Frobenius splitting, introduced by Mehta and Ramanathan (1985), is a splitting of the injective morphism OX→F*OX from a structure sheaf OX of a characteristic p > 0 variety X to its image F*OX under the Frobenius endomorphism F*. Brion & Kumar (2005) give a detailed discussion of Frobenius splittings. A fundamental property of Frobenius-split projective schemes X is that the higher cohomology Hi(X,L) (i > 0) of ample line bundles L vanishes.
brand slug:
wiki
category slug:
encyclopedia
description:
Concept in abstract algebra
original url:
https://en.wikipedia.org/wiki/Frobenius_splitting
date created:
date modified:
2023-08-12T20:51:13Z
main entity:
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image:
fields total:
13
integrity:
14