This is a preprint and may not have undergone formal peer review
Browning, Tim and Vishe, Pankaj Rational curves on smooth cubic hypersurfaces over finite fields. [Preprint] (Unpublished)
Abstract
Let k be a finite field with characteristic exceeding 3. We prove that the space of rational curves of fixed degree on any smooth cubic hypersurface over k with dimension at least 11 is irreducible and of the expected dimension.
Metadata
| Item Type: | Preprint |
|---|---|
| Authors/Creators: |
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| Copyright, Publisher and Additional Information: | 12 pages |
| Keywords: | math.AG,math.NT,14H10, 11P55, 14G05 |
| Institution: | The University of York |
| Academic Units: | The University of York > Faculty of Sciences (York) > Mathematics (York) |
| Funding Information: | Funder Grant number EPSRC EP/J018260/1 |
| Depositing User: | Pure (York) |
| Date Deposited: | 08 Jun 2023 23:14 |
| Last Modified: | 17 Sep 2025 04:51 |
| Status: | Unpublished |
| Related URLs: | |
| Open Archives Initiative ID (OAI ID): | oai:eprints.whiterose.ac.uk:200157 |
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