Algebraic cycles on a very special EPW sextic
Laterveer, Robert1
1 Université de Strasbourg, Strasbourg Cedex, France
Rendiconti del Seminario Matematico della Università di Padova, Tome 140 (2018), pp. 81-121.

Motivated by the Beauville–Voisin conjecture about Chow rings of powers of K3 surfaces, we consider a similar conjecture for Chow rings of powers of EPW sextics. We prove part of this conjecture for the very special EPW sextic studied by Donten-Bury et al. We also prove some other results concerning the Chow groups of this very special EPW sextic, and of certain related hyperkähler fourfolds.

Publié le :
DOI : 10.4171/RSMUP/4
Classification : 14, 00
Mots-clés : Algebraic cycles, Chow groups, motives, finite-dimensional motives, weak splitting property, weak Lefschetz conjecture for Chow groups, multiplicative Chow– Künneth decomposition, Bloch–Beilinson filtration, EPW sextics, hyperkähler varieties, $K3$ surfaces, abelian varieties, Calabi–Yau varieties
Laterveer, Robert 1

1 Université de Strasbourg, Strasbourg Cedex, France 
@article{RSMUP_2018__140__81_0,
     author = {Laterveer, Robert},
     title = {Algebraic cycles on a very special {EPW} sextic},
     journal = {Rendiconti del Seminario Matematico della Universit\`a di Padova},
     pages = {81--121},
     publisher = {European Mathematical Society Publishing House},
     address = {Zuerich, Switzerland},
     volume = {140},
     year = {2018},
     doi = {10.4171/RSMUP/4},
     mrnumber = {3880213},
     zbl = {1422.14014},
     url = {http://archive.numdam.org/articles/10.4171/RSMUP/4/}
}
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Laterveer, Robert. Algebraic cycles on a very special EPW sextic. Rendiconti del Seminario Matematico della Università di Padova, Tome 140 (2018), pp. 81-121. doi : 10.4171/RSMUP/4. http://archive.numdam.org/articles/10.4171/RSMUP/4/

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