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Free and very
free morphisms into a Fermat hypersurface
Tabes Bridges, Rankeya Datta, Joseph Eddy, Michael Newman and John Yu
Vol. 6 (2013), No. 4, 437–445
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Abstract |
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This paper studies the existence of free and very free curves on the degree Fermat hypersurface in over an algebraically closed field of characteristic . We explicitly compute a free curve in degree , and a very free curve in degree . We also prove that free and very free curves cannot exist in lower degrees. |
Keywords
free morphisms, very free morphisms, Fermat hypersurface,
Fermat hypersurface over a field of characteristic 2
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Mathematical Subject Classification 2010
Primary: 14-02
Secondary: 14M22
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Milestones
Received: 5 August 2012
Revised: 6 November 2012
Accepted: 8 November 2012
Published: 8 October 2013
Communicated by Ravi Vakil
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Authors |
| Tabes Bridges | |
| Department of Mathematics,
Statistics, and Computer Science University of Illinois at Chicago Chicago, IL 60607-7045 United States |
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| Rankeya Datta | |
| Department of Mathematics University of Michigan Ann Arbor, MI 48109 United States |
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| Joseph Eddy | |
| Department of Mathematics Columbia University New York, NY 10027 United States |
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| Michael Newman | |
| Department of Mathematics University of Michigan Ann Arbor, MI 48109 United States |
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| John Yu | |
| Department of Mathematics Columbia University New York, NY 10027 United States |
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