Frobenius splittings of toric varieties

Details Frobenius splittings of toric varieties Frobenius splittings of toric varieties

2008-02-28

arxiv.org/abs/0802.4302v3

Algebra Number Theory 3 (2009), no. 1, 107--119.

Mathematics

Algebraic Geometry

11 pages, 2 figures. v3: improved exposition throughout; removed Section 5 due to gap in proof of Theorem 1.5. To appear in Al

Scientific paper

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.

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