On the Chow ring of certain Fano fourfolds-Reference-Cited by-同舟云学术

On the Chow ring of certain Fano fourfolds

Published:2020-12-01 Issue:1 Volume:19 Page:39-52
ISSN:2300-133X
Container-title:Annales Universitatis Paedagogicae Cracoviensis. Studia Mathematica
language:en
Short-container-title:

Author:

Laterveer Robert¹

Affiliation:

1. Institut de Recherche Mathématique Avancée , CNRS – Université de Strasbourg , 7 Rue René Descartes, 67084 Strasbourg CEDEX , France

Abstract

Abstract We prove that certain Fano fourfolds of K3 type constructed by Fatighenti–Mongardi have a multiplicative Chow–Künneth decomposition. We present some consequences for the Chow ring of these fourfolds.

Publisher

Walter de Gruyter GmbH

Link

https://www.sciendo.com/pdf/10.2478/aupcsm-2020-0004

Reference22 articles.

1. [1] Beauville, Arnaud. “On the splitting of the Bloch-Beilinson filtration. In Algebraic cycles and motives. Vol. 2.”, Vol. 344 of London Math. Soc. Lecture Note Ser. Cambridge: Cambridge Univ. Press, 2007. Cited on 43.

2. [2] Beauville, Arnaud, and Claire Voisin “On the Chow ring of a K3 surface.” J. Algebraic Geom. 13, no. 3 (2004): 417-426. Cited on 40 and 44.

3. [3] Deligne, Pierre. “Théorème de Lefschetz et critères de dégénérescence de suites spectrales.” Inst. Hautes Études Sci. Publ. Math. 35 (1968): 259-278. Cited on 49.

4. [4] Deninger, Christopher, and Jacob Murre. “Motivic decomposition of abelian schemes and the Fourier transform.” J. Reine Angew. Math. 422 (1991): 201-219. Cited on 49.

5. [5] Fatighenti, Enrico, and Giovanni Mongardi. “Fano varieties of K3 type and IHS manifolds.” arXiv (2019): 1904.05679. Cited on 39, 40, 41 and 42.

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