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 |
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Pages (from-to) | 377-387 |
Number of pages | 11 |
Journal | Abhandlungen aus dem Mathematischen Seminar der Universität Hamburg |
Volume | 88 |
Issue number | 2 |
DOIs | |
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