{"paper":{"title":"Top-stable degenerations of finite dimensional representations II","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":["math.RA"],"primary_cat":"math.RT","authors_text":"B. Huisgen-Zimmermann, H. Derksen, J. Weyman","submitted_at":"2014-07-10T04:54:38Z","abstract_excerpt":"Let $\\Lambda$ be a finite dimensional algebra over an algebraically closed field. We exhibit slices of the representation theory of $\\Lambda$ that are always classifiable in stringent geometric terms. Namely, we prove that, for any semisimple object $T \\in \\Lambda\\text{-mod}$, the class of those $\\Lambda$-modules with fixed dimension vector (say $\\bf d$) and top $T$ which do not permit any proper top-stable degenerations possesses a fine moduli space. This moduli space, $\\mathfrak{ModuliMax}^T_{\\bf d}$, is a projective variety. Despite classifiability up to isomorphism, the targeted collection"},"claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1407.2691","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"}