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arXiv · 2411.03704

Motivic cycles on K3 double covers of del Pezzo surfaces

Ramesh Sreekantan
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Abstract

We construct motivic cohomology cycles in the group $H^3_{\mathcal M}(Z,{\mathbb Q}(2))$ where $Z$ is a K3 surface obtained as a double cover of a del Pezzo surface $X$ branched at a curve in $|-2K_X|$. The construction uses (-1) curves on the del Pezzo and is a generalization of a recent pre-print of Ken Sato arXiv: 2408.09102 where he considers the case of fourfold covers of ${\mathbb P}^2$ branched at a quartic curve.

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Ramesh Sreekantan. 2024-11-06. Motivic cycles on K3 double covers of del Pezzo surfaces. https://arxiv.org/abs/2411.03704

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