Open Access
2009 Frobenius splittings of toric varieties
Sam Payne
Algebra Number Theory 3(1): 107-119 (2009). DOI: 10.2140/ant.2009.3.107

Abstract

We discuss a characteristic free version of Frobenius splittings for toric varieties and give a polyhedral criterion for a toric variety to be diagonally split. We apply this criterion to show that section rings of nef line bundles on diagonally split toric varieties are normally presented and Koszul, and that Schubert varieties are not diagonally split in general.

Citation

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Sam Payne. "Frobenius splittings of toric varieties." Algebra Number Theory 3 (1) 107 - 119, 2009. https://doi.org/10.2140/ant.2009.3.107

Information

Received: 8 May 2008; Revised: 15 October 2008; Accepted: 22 November 2008; Published: 2009
First available in Project Euclid: 20 December 2017

zbMATH: 1168.14036
MathSciNet: MR2491910
Digital Object Identifier: 10.2140/ant.2009.3.107

Subjects:
Primary: 14M25
Secondary: 13A35 , 14M15 , 16S37

Keywords: diagonal splitting , Frobenius splitting , Koszul , toric variety

Rights: Copyright © 2009 Mathematical Sciences Publishers

Vol.3 • No. 1 • 2009
MSP
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