{"paper":{"title":"Cartier modules on toric varieties","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":["math.AC"],"primary_cat":"math.AG","authors_text":"Jen-Chieh Hsiao, Karl Schwede, Wenliang Zhang","submitted_at":"2010-11-03T06:26:21Z","abstract_excerpt":"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 $\\phi_{\\Delta}$ "},"claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1011.0804","kind":"arxiv","version":3},"verdict":{"id":null,"model_set":{},"created_at":null,"strongest_claim":"","one_line_summary":"","pipeline_version":null,"weakest_assumption":"","pith_extraction_headline":""},"references":{"count":0,"sample":[],"resolved_work":0,"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57","internal_anchors":0},"formal_canon":{"evidence_count":0,"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"author_claims":{"count":0,"strong_count":0,"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"builder_version":"pith-number-builder-2026-05-17-v1"}