{"paper":{"title":"Factorization semigroups and irreducible components of Hurwitz space. II","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":["math.GR"],"primary_cat":"math.AG","authors_text":"Vik. S. Kulikov","submitted_at":"2010-11-16T09:14:30Z","abstract_excerpt":"This article is a continuation of the article with the same title (see arXiv:1003.2953v1). Let {\\rm $\\text{HUR}_{d,t}^{G}(\\mathbb P^1)$} be the Hurwitz space of degree $d$ coverings of the projective line $\\mathbb P^1$ with Galois group $\\mathcal S_d$ and having fixed monodromy type $t$ consisting of a collection of local monodromy types (that is, a collection of conjugacy classes of permutations $\\sigma$ of the symmetric group $\\mathcal S_d$ acting on the set $I_d=\\{1,...,d\\}$). We prove that if the type $t$ contains big enough number of local monodromies belonging to the conjugacy class $C$ "},"claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1011.3619","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"}