Cartier modules on toric varieties

Details Cartier modules on toric varieties Cartier modules on toric varieties

2010-11-03

arxiv.org/abs/1011.0804v3

Mathematics

Algebraic Geometry

21 pages, minor changes, example 3.10 added. To appear in Transactions of the American Mathematical Society

Scientific paper

Assume that $X$ is an affine toric variety of characteristic $p > 0$. Let $\Delta$ be an effective toric $Q$-divisor such that $K_X+\Delta$ is $Q$-Cartier with index not divisible by $p$ and let $\phi_{\Delta}:F^e_* O_X \to O_X$ be the toric map corresponding to $\Delta$. We identify all ideals $I$ of $O_X$ with $\phi_{\Delta}(F^e_* I)=I$ 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 $\ba$, we identify all ideals $I$ fixed by the Cartier algebra generated by $\phi_{\Delta}$ and $\ba$; this answers a question by Manuel Blickle in the toric setting.

Affiliated with

Also associated with

No associations

Rating

Cartier modules on toric varieties does not yet have a rating. At this time, there are no reviews or comments for this scientific paper.

If you have personal experience with Cartier modules on toric varieties, we encourage you to share that experience with our LandOfFree.com community. Your opinion is very important and Cartier modules on toric varieties will most certainly appreciate the feedback.

Rate now

Comments { 0 }

Profile ID: LFWR-SCP-O-602273