Infinitesimal part of Weak Lefschetz using Milnor $K-$ theory
Algebraic Geometry
2018-01-29 v1
Abstract
Let be a smooth projective variety over a field of characteristic and an ample divisor. In this paper we study the Weak Lefschetz conjecture for Chow groups using the technique employed by Grothendieck in his study of the problem for Picard groups, and using Bloch's formula to interpret Chow groups in terms of Milnor - theory we prove the infinitesimal part of the conjecture.
Keywords
Cite
@article{arxiv.1801.08610,
title = {Infinitesimal part of Weak Lefschetz using Milnor $K-$ theory},
author = {Jagannathan Arjun Sathyamoorthy},
journal= {arXiv preprint arXiv:1801.08610},
year = {2018}
}