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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Publication status  Unpublished  17 Feb 2015 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 pagesKeywords
 math.AG
 math.NT
 14H10, 11P55, 14G05
Projects
 1 Finished

Programme GrantNew Frameworks in metric Number Theory
1/06/12 → 30/11/18
Project: Research project (funded) › Research