{"paper":{"title":"A compactification of the moduli space of principal Higgs bundles over singular curves","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":["math.DG"],"primary_cat":"math.AG","authors_text":"Alessio Lo Giudice, Andrea Pustetto","submitted_at":"2011-10-04T10:45:50Z","abstract_excerpt":"A principal Higgs bundle $(P,\\phi)$ over a singular curve $X$ is a pair consisting of a principal bundle $P$ and a morphism $\\phi:X\\to\\text{Ad}P \\otimes \\Omega^1_X$. We construct the moduli space of principal Higgs G-bundles over an irreducible singular curve $X$ using the theory of decorated vector bundles. More precisely, given a faithful representation $\\rho:G\\to Sl(V)$ of $G$, we consider principal Higgs bundles as triples $(E,q,\\phi)$ where $E$ is a vector bundle with $\\rk{E}=\\dim V$ over the normalization $\\xtilde$ of $X$, $q$ is a parabolic structure on $E$ and $\\phi:E\\ab{}\\to L$ is a m"},"claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1110.0632","kind":"arxiv","version":2},"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"}