Counting ramified coverings and intersection theory on Hurwitz spaces II (Local structure of Hurwitz spaces and combinatorial results)

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dc.creatorZvonkine, Dimitri
dc.date2003-04-18
dc.date.accessioned2026-07-07T04:57:01Z
dc.date.available2026-07-07T04:57:01Z
dc.descriptionThe Hurwitz space is a compactification of the space of rational functions of a given degree. We study the intersection of various strata of this space with its boundary. A study of the cohomology ring of the Hurwitz space then allows us to obtain recurrence relations for certain numbers of ramified coverings of a sphere by a sphere with prescribed ramifications. Generating functions for these numbers belong to a very particular subalgebra of the algebra of power series.
dc.description39 pages, 1 figure
dc.identifierhttps://arxiv.org/abs/math/0304251
dc.identifierhttp://arxiv.org/abs/math/0304251
dc.identifier.urihttp://salesiana.dossiersoluciones.com/handle/123456789/67127
dc.subjectAlgebraic Geometry
dc.subjectCombinatorics
dc.titleCounting ramified coverings and intersection theory on Hurwitz spaces II (Local structure of Hurwitz spaces and combinatorial results)
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