A motivic study of generalized Burniat surfaces

C. Peters

doi:10.1007/s12188-018-0198-5

A motivic study of generalized Burniat surfaces

C. Peters

Discrete Mathematics

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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 et al. in (J Math Sci Univ Tokyo 22(2–15):55–111, 2015. arXiv:1409.1285v2). This implies that the Chow motives of all of these surfaces are finite-dimensional in the sense of Kimura.

Original language	English
Pages (from-to)	377-387
Number of pages	11
Journal	Abhandlungen aus dem Mathematischen Seminar der Universität Hamburg
Volume	88
Issue number	2
DOIs	https://doi.org/10.1007/s12188-018-0198-5
Publication status	Published - 1 Oct 2018

Keywords

math.AG
14C15, 14C25, 14C30
Algebraic cycles
Sicilian surfaces
Finite-dimensional motives
Burniat surfaces
Chow groups
Inoue surfaces

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10.1007/s12188-018-0198-5

1710.02370v1Final author version , 160 KB
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A motivic study of generalized Burniat surfaces

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Keywords

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