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- W1655598209 abstract "Let $X$ be a smooth complex cubic fourfold and let $F$ be the variety of lines of $X$. The variety $F$ is known to be a smooth projective hyperkaehler fourfold, which is moreover endowed with a self rational map $phi : F -rightarrow F$ first constructed by C. Voisin. Here we define a filtration of Bloch--Beilinson type on the Chow group of zero-cycles $CH_0(F)$ which canonically splits under the action of $phi$, thereby answering in this case a question of A. Beauville. Moreover, we show that this filtration is of motivic origin, in the sense that it arises from a Chow--Kuenneth decomposition of the diagonal." @default.
- W1655598209 created "2016-06-24" @default.
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- W1655598209 date "2012-12-03" @default.
- W1655598209 modified "2023-09-26" @default.
- W1655598209 title "On the Chow groups of the variety of lines of a cubic fourfold" @default.
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- W1655598209 doi "https://doi.org/10.48550/arxiv.1212.0552" @default.
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