On the rationality of certain moduli spaces related to curves of genus 4
On the rationality of certain moduli spaces related to curves of genus 4
复制标题
论与4格曲线有关的某些模空间的合理性
DOI：
10.1007/bfb0065697
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发表时间：
1983
期刊：
影响因子：
--
通讯作者：
F. Catanese
中科院分区：
文献类型：
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作者：
F. Catanese
M是粗模空间的完全光滑曲线的属g，g是”Prym模空间”的unramified（连通）双覆盖让R g曲线的属g;一个一般的问题是：什么可以说的双有理结构的M，R？g g从双有理几何的观点，我们也可以讨论Mg，n '是亏格g的曲线的模空间以及点的有序n元组，尽管这个模函子一般来说是不可表示的（参见图1）。[IOJ].我们的主要结果是：
M be the coarse moduli space for complete smooth curves of genus g, g be the" Prym moduli space" of unramified (connected) double covers of Let let R g curves of genus g; a general problem is: what can be said about the birational structure of M, R? g g From the point of view of birational geometry we can also talk about Mg, n'the moduli space of curves of genus g together with an ordered n-tuple of points, though this moduli functor is not representable in general (cf.[IOJ). Our main results are: