AI & Computingarticle2026-10-13

Subvarieties of low degree on general hypersurfaces

Open access0 citations

Abstract

Abstract The purpose of this note is to show that the subvarieties of small degree inside a general hypersurface of large degree come from intersecting with linear spaces or other varieties. This partially generalizes a theorem of Wu.

// Source

View paper (DOI)Open access versionOpenAlexJournal für die reine und angewandte Mathematik (Crelles Journal)Published 2026-10-13

Authors: Nathan Chen, David Yang

Institutions: Harvard University Press, Massachusetts Institute of Technology