{"paper":{"title":"Generalized Donaldson-Thomas theory over fields K $\\neq$ C","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":[],"primary_cat":"math.AG","authors_text":"Vittoria Bussi","submitted_at":"2014-03-10T20:39:02Z","abstract_excerpt":"Generalized Donaldson-Thomas invariants defined by Joyce and Song arXiv:0810.5645 are rational numbers which `count' both $\\tau$-stable and $\\tau$-semistable coherent sheaves with Chern character $\\alpha$ on a Calabi-Yau 3-fold $X$, where $\\tau$ denotes Gieseker stability for some ample line bundle on $X$. These invariants are defined for all classes $\\alpha$, and are equal to the classical Donaldson-Thomas invariant defined by Thomas arXiv:math/9806111 when it is defined. They are unchanged under deformations of $X$, and transform by a wall-crossing formula under change of stability condition"},"claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1403.2403","kind":"arxiv","version":1},"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"}