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- W1679657586 abstract "In a previous paper, we proved that over a finite field $k$ of sufficiently large cardinality, all curves of genus at most 3 over k can be modeled by a bivariate Laurent polynomial that is nondegenerate with respect to its Newton polytope. In this paper, we prove that there are exactly two curves of genus at most 3 over a finite field that are not nondegenerate, one over F_2 and one over F_3. Both of these curves have remarkable extremal properties concerning the number of rational points over various extension fields." @default.
- W1679657586 created "2016-06-24" @default.
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- W1679657586 date "2009-07-12" @default.
- W1679657586 modified "2023-09-27" @default.
- W1679657586 title "Nondegenerate curves of low genus over small finite fields" @default.
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