Algebraic cycles on the Fano variety of lines of a cubic fourfold

Kalyan Banerjee

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arXiv · 1609.05627

Algebraic cycles on the Fano variety of lines of a cubic fourfold

Kalyan Banerjee

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Abstract

In this text we prove that if a smooth cubic in $\PR^5$ has its Fano variety of lines birational to the Hilbert scheme of two points on a K3 surface, then there exists a smooth projective curve or a smooth projective surface embedded in the Fano variety, such that the kernel of the push-forward (at the level of zero cycles ) induced by the closed embedding is torsion.

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BibTeX RIS

Kalyan Banerjee. 2016-09-19. Algebraic cycles on the Fano variety of lines of a cubic fourfold. https://arxiv.org/abs/1609.05627

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