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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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.

Originele taal-2	Engels
Pagina's (van-tot)	377-387
Aantal pagina's	11
Tijdschrift	Abhandlungen aus dem Mathematischen Seminar der Universität Hamburg
Volume	88
Nummer van het tijdschrift	2
DOI's	https://doi.org/10.1007/s12188-018-0198-5
Status	Gepubliceerd - 1 okt. 2018

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10.1007/s12188-018-0198-5

1710.02370v1Finale auteursversie , 160 KB
published versionDefinitieve gepubliceerde versie, 298 KB

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AB - 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.

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A motivic study of generalized Burniat surfaces

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