{"paper":{"title":"Global Intersection Cohomology of Quasimaps' Spaces","license":"","headline":"","cross_cats":["math.AG"],"primary_cat":"alg-geom","authors_text":"Alexander Kuznetsov (Independent University of Moscow), Michael Finkelberg","submitted_at":"1997-02-14T18:22:28Z","abstract_excerpt":"Let $C$ be a smooth projective curve of genus 0. Let $\\CB$ be the variety of complete flags in an $n$-dimensional vector space $V$. Given an $(n-1)$-tuple $\\alpha\\in\\BN[I]$ of positive integers one can consider the space $\\CQ_\\alpha$ of algebraic maps of degree $\\alpha$ from $C$ to $\\CB$. This space admits some remarkable compactifications $\\CQ^D_\\alpha$ (Quasimaps), $\\CQ^L_\\alpha$ (Quasiflags), $\\CQ^K_\\alpha$ (Stable Maps) of $\\CQ_\\alpha$ constructed by Drinfeld, Laumon and Kontsevich respectively. It has been proved that the natural map $\\pi: \\CQ^L_\\alpha\\to \\CQ^D_\\alpha$ is a small resoluti"},"claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"alg-geom/9702010","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"}