English

Universal codimension two cycle on a very general cubic threefold

Algebraic Geometry 2025-09-09 v1 K-Theory and Homology

Abstract

In this paper, we prove that a very general cubic threefold does not admit a universal codimension-two cycle and hence is stably irrational.

Cite

@article{arxiv.2509.06013,
  title  = {Universal codimension two cycle on a very general cubic threefold},
  author = {Kalyan Banerjee},
  journal= {arXiv preprint arXiv:2509.06013},
  year   = {2025}
}

Comments

12 pages, comments are very welcome

R2 v1 2026-07-01T05:25:03.602Z