Fano Hypersurfaces in Positive Characteristic
Yi Zhu
TL;DR
This paper proves that general Fano hypersurfaces in projective spaces over algebraically closed fields are separably rationally connected, extending known results to arbitrary characteristic fields.
Contribution
It establishes the separable rational connectedness of general Fano hypersurfaces in any characteristic, a significant extension of previous characteristic-zero results.
Findings
Fano hypersurfaces are separably rationally connected in arbitrary characteristic.
The result applies to general hypersurfaces in projective spaces.
The proof extends techniques to positive characteristic fields.
Abstract
We prove that a general Fano hypersurface in a projective space over an algebraically closed field of arbitrary characteristic is separably rationally connected.
Peer Reviews
No public reviews on file for this paper yet. If you reviewed it on a platform where reviews are public (OpenReview, ICLR, NeurIPS, ICML), you can paste yours below so the community can read it here.
Videos
No videos yet. Explain this paper in a talk, walkthrough, or lecture? Add one.
Taxonomy
TopicsAlgebraic Geometry and Number Theory · Geometry and complex manifolds · Meromorphic and Entire Functions