English

Rationality of hypersurfaces

Algebraic Geometry 2026-04-02 v2

Abstract

We survey recent developments on rationality problems for algebraic varieties, with a particular emphasis on cycle-theoretic and combinatorial methods and their applications to hypersurfaces.

Keywords

Cite

@article{arxiv.2510.13679,
  title  = {Rationality of hypersurfaces},
  author = {Stefan Schreieder},
  journal= {arXiv preprint arXiv:2510.13679},
  year   = {2026}
}

Comments

22 pages, to appear in the Proceedings of the ICM 2026; v2: references updated, equivalent formulation in Definition 2.5 added

R2 v1 2026-07-01T06:39:12.466Z