Rationality criteria for motivic zeta-functions

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dc.creatorLarsen, Michael J.
dc.creatorLunts, Valery A.
dc.date2002-12-11
dc.date.accessioned2026-07-07T04:53:42Z
dc.date.available2026-07-07T04:53:42Z
dc.descriptionThe zeta-function of a complex variety is a power series whose nth coefficient is the nth symmetric power of the variety, viewed as an element in the Grothendieck ring of complex varieties. We prove that the zeta-function of a surface is rational if and only if its Kodaira dimension is negative.
dc.description26 pages
dc.identifierhttps://arxiv.org/abs/math/0212158
dc.identifierhttp://arxiv.org/abs/math/0212158
dc.identifier.urihttp://salesiana.dossiersoluciones.com/handle/123456789/65958
dc.subjectAlgebraic Geometry
dc.subject14E99; 14G10
dc.titleRationality criteria for motivic zeta-functions
dc.typetext

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