{"paper":{"title":"Partial Resolutions of Orbifold Singularities via Moduli Spaces of HYM-type Bundles","license":"","headline":"","cross_cats":["dg-ga","math.AG","math.DG"],"primary_cat":"alg-geom","authors_text":"Alexander V Sardo Infirri","submitted_at":"1996-10-04T06:49:50Z","abstract_excerpt":"Let $\\Gamma$ be a finite group acting linearly on $\\C^n$, freely outside the origin, and let $N$ be the number of conjugacy classes of $\\Gamma$ minus one. A construction of Kronheimer of moduli spaces $X_\\zeta$ of translation-invariant $\\Gamma$-equivariant instantons on $\\C^2$ is generalised to $\\C^n$. The moduli spaces $X_\\zeta$ depend on a parameter $\\zeta\\in\\Q^N$. The following results are proved: for $\\zeta=0$, $X_0$ is isomorphic to $\\C^n/\\Gamma$; if $\\zeta\\neq 0$, the natural maps $X_\\zeta\\to X_0$ are partial resolutions. The moduli $X_\\zeta$ are furthermore shown to admit K\\\"ahler metri"},"claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"alg-geom/9610004","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":""},"integrity":{"clean":true,"summary":{"advisory":0,"critical":0,"by_detector":{},"informational":0},"endpoint":"/pith/alg-geom/9610004/integrity.json","findings":[],"available":true,"detectors_run":[],"snapshot_sha256":"c28c3603d3b5d939e8dc4c7e95fa8dfce3d595e45f758748cecf8e644a296938"},"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"}