Universally defined cycles I
Algebraic Geometry
2024-12-16 v2
Abstract
We introduce and study the notion of universally defined cycles of smooth varieties of dimension , and prove that they are given by polynomials in the Chern classes. A similar result is proved for universally defined cycles on products of smooth varieties. We also state a conjectural explicit form for universally defined cycles on powers of smooth varieties, and provide some steps towards establishing it.
Cite
@article{arxiv.2408.06893,
title = {Universally defined cycles I},
author = {Claire Voisin},
journal= {arXiv preprint arXiv:2408.06893},
year = {2024}
}
Comments
Final version, to appear in Indagationes, special volume dedicated to the memory of Jacob Murre