Cartier modules on toric varieties

Jen Chieh Hsiao, Karl Schwede, Wenliang Zhang

Research output: Contribution to journalArticle

2 Citations (Scopus)

Abstract

Assume that X is an affine toric variety of characteristic p > 0. Let Δ be an effective toric ℚ-divisor such that KX +Δ is ℚ-Cartier with index not divisible by p and let φΔ: F*eX → ∂X be the toric map corresponding to Δ. We identify all ideals I of ∂X with φΔ(F*eI) = I combinatorially and also in terms of a log resolution (giving us a version of these ideals which can be defined in characteristic zero). Moreover, given a toric ideal a, we identify all ideals I fixed by the Cartier algebra generated by φ Δ and a; this answers a question by Manuel Blickle in the toric setting.

Original languageEnglish
Pages (from-to)1773-1795
Number of pages23
JournalTransactions of the American Mathematical Society
Volume366
Issue number4
DOIs
Publication statusPublished - 2014 Jan 30

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All Science Journal Classification (ASJC) codes

  • Mathematics(all)
  • Applied Mathematics

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