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arXiv · 1906.10723

Algebraic cycles on hyperplane sections of hypersurfaces in $\mathbb P^n$ for $n=5,6$

Kalyan Banerjee
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Abstract

Let $X$ be a cubic hypersurface in $\mathbb P^6$ or a hypersurface of degree greater than equal to $7$ in $\mathbb P^5$. In this note we try to understand, for a very general hyperplane section of $X$, the non-injectivity locus of the corresponding push-forward homomorphism at the level of Chow group of certain dimension.

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Kalyan Banerjee. 2019-06-25. Algebraic cycles on hyperplane sections of hypersurfaces in $\mathbb P^n$ for $n=5,6$. https://arxiv.org/abs/1906.10723

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