A motivic study of generalized Burniat surfaces

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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 languageEnglish
Pages (from-to)377-387
Number of pages11
JournalAbhandlungen aus dem Mathematischen Seminar der Universität Hamburg
Volume88
Issue number2
DOIs
Publication statusPublished - 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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