Abelian Functions for Trigonal Curves of Genus Three

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dc.creatorEilbeck, J. C.
dc.creatorEnolski, V. Z.
dc.creatorMatsutani, S.
dc.creatorÔnishi, Y.
dc.creatorPreviato, E.
dc.date2006-09-30
dc.date2007-10-23
dc.date.accessioned2026-07-07T08:48:40Z
dc.date.available2026-07-07T08:48:40Z
dc.descriptionWe develop the theory of generalized Weierstrass sigma- and \wp-functions defined on a trigonal curve of genus three. In particular we give a list of the associated partial differential equations satisfied by the \wp-functions, a proof that the coefficients of the power series expansion of the sigma-function are polynomials of moduli parameters, and the derivation of two addition formulae.
dc.description32 pages, no figures. Revised version has the a fuller description of the general (3,4) trigonal curve results, the first version described only the "Purely Trigonal" case
dc.identifierhttps://arxiv.org/abs/math/0610019
dc.identifierhttp://arxiv.org/abs/math/0610019
dc.identifierInternational Mathematics Research Notices, v 2007, Art.ID rnm140 (38 pages) (2007)
dc.identifierdoi:10.1093/imrn/rnm140
dc.identifier.urihttp://salesiana.dossiersoluciones.com/handle/123456789/144026
dc.subjectAlgebraic Geometry
dc.subject14H40; 14H42; 15A15; 33E05
dc.titleAbelian Functions for Trigonal Curves of Genus Three
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