Rational curves on smooth cubic hypersurfaces over finite fields

Tim Browning; Pankaj Vishe

Rational curves on smooth cubic hypersurfaces over finite fields

Mathematics

Research output: Working paper › Preprint

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.

Original language	English
Number of pages	12
Publication status	Unpublished - 17 Feb 2015

Bibliographical note

12 pages

Keywords

math.AG
math.NT
14H10, 11P55, 14G05

Access to Document

RationCurvesSubmitted manuscript, 156 KB

http://arxiv.org/abs/1502.05028

Programme Grant-New Frameworks in metric Number Theory
VELANI, S. (Principal investigator) & Beresnevich, V. (Other)
EPSRC
1/06/12 → 30/11/18
Project: Research project (funded) › Research

Cite this

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AU - Vishe, Pankaj

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KW - math.AG

KW - math.NT

KW - 14H10, 11P55, 14G05

M3 - Preprint

BT - Rational curves on smooth cubic hypersurfaces over finite fields

ER -

Rational curves on smooth cubic hypersurfaces over finite fields

Abstract

Bibliographical note

Keywords

Access to Document

Projects

Programme Grant-New Frameworks in metric Number Theory

Cite this