{"paper":{"title":"Log Sarkisov Program","license":"","headline":"","cross_cats":["math.AG"],"primary_cat":"alg-geom","authors_text":"Andrea Bruno, Kenji Matsuki","submitted_at":"1995-02-10T18:37:40Z","abstract_excerpt":"The purpose of this paper is two-fold.  The first is to give a tutorial introduction to the Sarkisov program, a 3-dimensional generalization of Castelnuovo-N\\\"other Theorem ``untwisting\" birational maps between Mori fiber spaces, which was recently established by Corti after Sarkisov and Reid.\n  The second is an attempt to give a logarithmic generalization of the program, introducing the notion of the Sarkisov relation.  We give a simple description of the structure of the program and clarify the mechanism of termination connected to the boundedness conjecture of (log) Q-Fano n-folds by Boriso"},"claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"alg-geom/9502007","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"}