{"paper":{"title":"Moduli spaces of $\\Lambda$-modules on abelian varieties","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":[],"primary_cat":"math.AG","authors_text":"Emilio Franco, Pietro Tortella","submitted_at":"2016-02-19T13:42:42Z","abstract_excerpt":"We study the moduli space $\\mathbf{M}_X(\\Lambda, n)$ of semistable $\\Lambda$-modules of vanishing Chern classes over an abelian variety $X$, where $\\Lambda$ belongs to a certain subclass of $D$-algebras. In particular, for $\\Lambda = \\mathcal{D}_X$ (resp. $\\Lambda = \\mathrm{Sym}^\\bullet \\mathcal{T}X$) we obtain a description of the moduli spaces of flat connections (resp. Higgs bundles).\n  We give a description of $\\mathbf{M}_X(\\Lambda, n)$ in terms of a symmetric product of a certain fibre bundle over the dual abelian variety $\\hat{X}$. We also give a moduli interpretation to the associated H"},"claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1602.06150","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"}