Rationality criteria for motivic zeta-functions

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The 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.
26 pages

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Algebraic Geometry, 14E99; 14G10

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http://salesiana.dossiersoluciones.com/handle/123456789/65958

Consulte el texto completo en el siguiente enlace:

https://arxiv.org/abs/math/0212158
 http://arxiv.org/abs/math/0212158

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arXiv