Free and Very Free Morphisms into a Fermat Hypersurface

2012/07/20 by Tabes Bridges, Rankeya Datta, Bridges, Tabes +9
Arts and Humanities · Mathematics · #Algebraic Geometry and Number Theory #French Historical and Cultural Studies #Geometric Analysis and Curvature Flows #math.AG #msc:14

paper · pdf · doi:10.48550/arxiv.1207.5015

7 pages

arxiv created 2012/07/25 · arxiv updated 2012/07/26

Abstract

This paper studies the existence of free and very free curves on the degree 5 Fermat hypersurface in P⁵ over a field of characteristic 2. We find that such curves exist in degrees 8 and 9 and not in lower degrees.

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