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arXiv · 1710.02370

A motivic study of generalized Burniat surfaces

Chris Peters
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Abstract

Generalized Burniat surfaces are surfaces of general type with $p_g=q$ and Euler number $e=6$ obtained by a variant of Inoue's construction method for the classical Burniat surfaces. I prove a variant of the Bloch conjecture for these surfaces. The method applies also to the so-called Sicilian surfaces introduced by Bauer, Catanese and Frapporti. This implies that the Chow motives of all of these surfaces are finite-dimensional in the sense of Kimura.

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Chris Peters. 2017-10-06. A motivic study of generalized Burniat surfaces. https://arxiv.org/abs/1710.02370

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