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 [Preprint] (Unpublished)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 | ||||
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Authors/Creators: |
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Copyright, Publisher and Additional Information: | 12 pages |
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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: |
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Depositing User: | Pure (York) | ||||
Date Deposited: | 08 Jun 2023 23:14 | ||||
Last Modified: | 23 Apr 2024 23:20 | ||||
Status: | Unpublished | ||||
Refereed: | No | ||||
Related URLs: |