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Mathematics > Algebraic Geometry

arXiv:1803.06212 (math)
[Submitted on 16 Mar 2018 (v1), last revised 19 Jun 2020 (this version, v2)]

Title:Hurwitz Stacks of Groups Extensions and Irreducibility

Authors:Benjamin Collas, Sylvain Maugeais
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Abstract:We study the irreducible components of special loci of curves whose group of symmetries is given as certain group extension. We introduce some relative Hurwitz data, which we show by using mixed étale cohomology theory, identifies some irreducible components for rational and normal non-abelian special loci and Hurwitz spaces. A heuristic, that is supported by three classes of examples, provides an additional context for building further irreducible loci.
Comments: Major update (27 pages): new irreducibility result and Heuristic (+2 sections,+ 1 figure, +7pages.)
Subjects: Algebraic Geometry (math.AG)
MSC classes: 14H10, 14H30 (14H45, 32G15)
Cite as: arXiv:1803.06212 [math.AG]
  (or arXiv:1803.06212v2 [math.AG] for this version)
  https://doi.org/10.48550/arXiv.1803.06212

Submission history

From: Benjamin Collas [view email]
[v1] Fri, 16 Mar 2018 13:24:43 UTC (22 KB)
[v2] Fri, 19 Jun 2020 06:34:31 UTC (30 KB)
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