${\rm GR}={\rm SW}$: counting curves and connections
نویسندگان
چکیده
منابع مشابه
Counting hyperelliptic curves
We find a closed formula for the number hyp(g) of hyperelliptic curves of genus g over a finite field k = Fq of odd characteristic. These numbers hyp(g) are expressed as a polynomial in q with integer coefficients that depend on g and the set of divisors of q − 1 and q + 1. As a by-product we obtain a closed formula for the number of self-dual curves of genus g. A hyperelliptic curve is self-du...
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Article history: Received 25 August 2014 Received in revised form 10 September 2014 Accepted 18 September 2014 Available online 4 November 2014 Communicated by H. Stichtenoth MSC: 11G20 10D20 14G15 14H10
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ژورنال
عنوان ژورنال: Journal of Differential Geometry
سال: 1999
ISSN: 0022-040X
DOI: 10.4310/jdg/1214425348