{"paper":{"title":"Eclatement de r\\'eseaux de quadriques et bord des instantons de degr\\'e 3","license":"","headline":"","cross_cats":[],"primary_cat":"math.AG","authors_text":"Nicolas Perrin","submitted_at":"2000-03-29T09:29:18Z","abstract_excerpt":"In their article [1], L. Gruson and M. Skiti have constructed a birationnal map from the variety $\\I$ of mathematical instantons of degree 3 to the variety of nets of quadrics in $\\pd$. They describe by this way two irreducible componants of the boundary of $\\I$ associated to the divisor of nets which contain a two-plane degenerated quadric and the divisor of L\\\" uroth nets. In this article we describe an irreducible componante of the boundary of $\\I$ as the exceptionnal divisor of the blowing-up of the closed set of nets of quadrics of rank 3."},"claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"math/0003201","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"}