Parametrizing the moduli space of curves and applications to smooth plane quartics over finite fields
Parametrizing the moduli space of curves and applications to smooth plane quartics over finite fields
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参数化曲线的模空间以及有限域上平滑平面四次方程的应用
DOI：
10.1112/s146115701400031x
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发表时间：
2014
期刊：
影响因子：
--
通讯作者：
J. Sijsling
中科院分区：
文献类型：
--
作者：
R. Lercier;C. Ritzenthaler;Florent Rovetta;J. Sijsling
We study new families of curves that are suitable for efficiently parametrizing their moduli spaces. We explicitly construct such families for smooth plane quartics in order to determine unique representatives for the isomorphism classes of smooth plane quartics over finite fields. In this way, we can visualize the distributions of their traces of Frobenius. This leads to new observations on fluctuations with respect to the limiting symmetry imposed by the theory of Katz and Sarnak.
DOI：
10.4171/owr/2010/27
发表时间：
2010
期刊：
--
影响因子：
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作者：
C. Voisin;D. Erman
通讯作者：
C. Voisin;D. Erman