Subvarieties of low degree on general hypersurfaces
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.
Authors
- Nathan Chen (ORCID: https://orcid.org/0000-0002-5278-624X)
- David Yang
Institutions
- Harvard University Press (US)
- Massachusetts Institute of Technology (US)
Publication Details
- Journal
- Journal für die reine und angewandte Mathematik (Crelles Journal)
- Published
- 2026-10-13
- DOI
- https://doi.org/10.1515/crelle-2026-0082
- Primary Topic
- Algebraic Geometry and Number Theory
- Type
- article
- Field-Weighted Citation Impact
- 0.00
Funders
- National Science Foundation