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arxiv: 1207.5015 · v2 · pith:LMOGAXU6new · submitted 2012-07-20 · 🧮 math.AG

Free and Very Free Morphisms into a Fermat Hypersurface

classification 🧮 math.AG
keywords freecurvesdegreesfermathypersurfaceverycharacteristicdegree
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This paper studies the existence of free and very free curves on the degree 5 Fermat hypersurface in P^5 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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