{"paper":{"title":"Cusps of the K\\\"ahler moduli space and stability conditions on K3 surfaces","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":[],"primary_cat":"math.AG","authors_text":"Heinrich Hartmann","submitted_at":"2010-12-14T18:29:55Z","abstract_excerpt":"In [Ma1] S. Ma established a bijection between Fourier--Mukai partners of a K3 surface and cusps of the K\\\"ahler moduli space. The K\\\"ahler moduli space can be described as a quotient of Bridgeland's stability manifold. We study the relation between stability conditions $\\sigma$ near to a cusp and the associated Fourier--Mukai partner Y in the following ways. (1) We compare the heart of $\\sigma$ to the heart of coherent sheaves on Y. (2) We construct Y as moduli space of $\\sigma$-stable objects.\n  An appendix is devoted to the group of auto-equivalences of the derived category which respect th"},"claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1012.3121","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"}