Differential Structure of Abelian Functions

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dc.creatorCho, K.
dc.creatorNakayashiki, A.
dc.date2006-04-12
dc.date.accessioned2026-07-07T07:10:48Z
dc.date.available2026-07-07T07:10:48Z
dc.descriptionThe space of abelian functions of a principally polarized abelian variety J is studied as a module over the ring D of global holomorphic differential operators on J. We construct a D-free resolution in case the theta divisor is non-singular. As an application, in the case of dimension 2 and 3, we construct a new linear basis of the space of abelian functions in terms of logarithmic derivatives of the higher dimensional sigma function.
dc.description25 pages
dc.identifierhttps://arxiv.org/abs/math/0604267
dc.identifierhttp://arxiv.org/abs/math/0604267
dc.identifier.urihttp://salesiana.dossiersoluciones.com/handle/123456789/111536
dc.subjectAlgebraic Geometry
dc.subjectQuantum Algebra
dc.subject14K25 (primary) 14H40,14H70 (secondary)
dc.titleDifferential Structure of Abelian Functions
dc.typetext

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