Smooth subvarieties of Jacobians
Algebraic Geometry
2026-05-20 v3
Abstract
We give new examples of algebraic integral cohomology classes on smooth projective complex varieties that are not integral linear combinations of classes of smooth subvarieties. Some of our examples have dimension 6, the lowest possible. The classes that we consider are minimal cohomology classes on Jacobians of very general curves. Our main tool is complex cobordism.
Keywords
Cite
@article{arxiv.2205.12761,
title = {Smooth subvarieties of Jacobians},
author = {Olivier Benoist and Olivier Debarre},
journal= {arXiv preprint arXiv:2205.12761},
year = {2026}
}
Comments
11 pages, v3: final version