发帖
雷达卡
摘要翻译：
假设我们是以六个尖点为奇点的不可约性的变种。设W是W的不可约分量之一，用M_4表示亏格4光滑曲线的模空间，W的模映射是从W到M_4的有理映射，它将对应于平面曲线D的W的一般点送到使D的归一化曲线参数化的M_4点。W的模数定义为W的像相对于模映射的维数。我们知道这个数字最多等于七。本文证明了S的两个不可约分量的模数都精确等于7。
---
英文标题：
《On the number of moduli of plane sextics with six cusps》
---
作者：
Concettina Galati
---
最新提交年份：
2007
---
分类信息：
一级分类：Mathematics 数学
二级分类：Algebraic Geometry 代数几何
分类描述：Algebraic varieties, stacks, sheaves, schemes, moduli spaces, complex geometry, quantum cohomology
代数簇，叠，束，格式，模空间，复几何，量子上同调
--
---
英文摘要：
Let S be the variety of irreducible sextics with six cusps as singularities. Let W be one of irreducible components of W. Denoting by M_4 the space of moduli of smooth curves of genus 4, the moduli map of W is the rational map from W to M_4 sending the general point of W, corresponding to a plane curve D, to the point of M_4 parametrizing the normalization curve of D. The number of moduli of W is, by definition the dimension of the image of W with respect to the moduli map. We know that this number is at most equal to seven. In this paper we prove that both irreducible components of S have number of moduli exactly equal to seven.
---
PDF链接：
https://arxiv.org/pdf/0704.0622
京公网安备 11010802022788号
