On the smoothability problem with rational coefficients
Algebraic Geometry
2024-10-22 v2
Abstract
We consider the problem of smoothing algebraic cycles with rational coefficients on smooth projective complex varieties up to homological equivalence. We show that a solution to this problem would be incompatible with the validity of the Hartshorne conjecture on complete intersections in projective space. We also solve unconditionally a symplectic variant of this problem.
Cite
@article{arxiv.2405.12620,
title = {On the smoothability problem with rational coefficients},
author = {Olivier Benoist and Claire Voisin},
journal= {arXiv preprint arXiv:2405.12620},
year = {2024}
}
Comments
13 pages, final version