Hyperelliptic Components of the Moduli Spaces of Quadratic Differentials with Prescribed Singularities

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dc.creatorLanneau, Erwan
dc.date2002-10-07
dc.date2005-03-07
dc.date.accessioned2026-07-07T04:51:42Z
dc.date.available2026-07-07T04:51:42Z
dc.descriptionModuli spaces of quadratic differentials with prescribed singularities are not necessarily connected. We describe here all cases when they have a special hyperelliptic connected component. We announce the general classification theorem: up to the four exceptional cases in low genera the strata of meromorphic quadratic differentials are either connected, or have exactly two connected components, and one of the two components is hyperelliptic.
dc.descriptionreferences added. 23 pages, 5 figures
dc.identifierhttps://arxiv.org/abs/math/0210099
dc.identifierhttp://arxiv.org/abs/math/0210099
dc.identifierCommentarii Mathematici Helvetici 79 no. 3, (2004) 471--501
dc.identifier.urihttp://salesiana.dossiersoluciones.com/handle/123456789/65202
dc.subjectGeometric Topology
dc.subjectDynamical Systems
dc.subject32G15, 30F30, 30F60, 58F18
dc.titleHyperelliptic Components of the Moduli Spaces of Quadratic Differentials with Prescribed Singularities
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