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

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

2010-09-08

arxiv.org/abs/1009.1434v2

Mathematics

Algebraic Geometry

13 pages, added references

Scientific paper

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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