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

Kalyan Banerjee

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

Algebraic Geometry 2019-06-27 v1 K-Theory and Homology

Authors: Kalyan Banerjee

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.

Keywords

algebraic cycles hyperplane sections hypersurfaces chow group push-forward homomorphism non-injectivity locus

Cite

@article{arxiv.1906.10723,
  title  = {Algebraic cycles on hyperplane sections of hypersurfaces in $\mathbb P^n$ for $n=5,6$},
  author = {Kalyan Banerjee},
  journal= {arXiv preprint arXiv:1906.10723},
  year   = {2019}
}

Comments

9 pages, comments are welcome

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