Symplectic involutions of $K3$ surfaces act trivially on $\mathrm{CH}_0$
Documenta mathematica, Tome 17 (2012), pp. 851-860
A symplectic involution on a K3 surface is an involution which preserves the holomorphic 2-form. We prove that such a symplectic involution acts as the identity on the CH0 group of the K3 surface, as predicted by Bloch's conjecture.
Classification :
14C25, 14J28
Mots-clés : K3 surfaces, zero cycles, Bloch's conjecture
Mots-clés : K3 surfaces, zero cycles, Bloch's conjecture
@article{10_4171_dm_383,
author = {Claire Voisin},
title = {Symplectic involutions of $K3$ surfaces act trivially on $\mathrm{CH}_0$},
journal = {Documenta mathematica},
pages = {851--860},
year = {2012},
volume = {17},
doi = {10.4171/dm/383},
url = {http://geodesic.mathdoc.fr/articles/10.4171/dm/383/}
}
Claire Voisin. Symplectic involutions of $K3$ surfaces act trivially on $\mathrm{CH}_0$. Documenta mathematica, Tome 17 (2012), pp. 851-860. doi: 10.4171/dm/383
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