Chow groups of conic bundles in $\mathbb P^5$ and the Generalised Bloch's conjecture

Kalyan Banerjee

Chow groups of conic bundles in $\mathbb P^5$ and the Generalised Bloch's conjecture

Algebraic Geometry 2021-03-11 v5

Authors: Kalyan Banerjee

Abstract

Consider the Fano surface of a conic bundle embedded in $\mathbb P^5$ . Let $i$ denote the natural involution acting on this surface. In this note we provide an obstruction to the identity action of the involution on the group of algebraically trivial zero cycles modulo rational equivalence on the surface.

Keywords

Chow groups conic bundles Fano surface Bloch's conjecture algebraically trivial cycles rational equivalence involution

Cite

@article{arxiv.1705.07766,
  title  = {Chow groups of conic bundles in $\mathbb P^5$ and the Generalised Bloch's conjecture},
  author = {Kalyan Banerjee},
  journal= {arXiv preprint arXiv:1705.07766},
  year   = {2021}
}

Comments

18 pages, accepted for publication in the Journal of Ramanujan Math. Society

Related papers

View all related →