Transcendence degree of zero-cycles and the structure of Chow motives

Sergey Gorchinskiy; Vladimir Guletskii

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arXiv · 1009.1434

Transcendence degree of zero-cycles and the structure of Chow motives

Sergey Gorchinskiy·Vladimir Guletskii

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Abstract

We show how the notion of the transcendence degree of a zero-cycle on a smooth projective variety X is related to the structure of the motive M(X). This can be of particular interest in the context of Bloch's conjecture, especially for Godeaux surfaces, when the surface is given as a finite quotient of a suitable quintic in P^3.

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Sergey Gorchinskiy, Vladimir Guletskii. 2010-09-08. Transcendence degree of zero-cycles and the structure of Chow motives. https://arxiv.org/abs/1009.1434

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