paper

Rationality of hypersurfaces

arXiv:2510.13679

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.

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

Rationality of hypersurfaces · wovepaper