Geometry of Genus 8 Nikulin Surfaces and Rationality of their Moduli
Geometry of Genus 8 Nikulin Surfaces and Rationality of their Moduli
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8 Nikulin曲面的几何形状及其模量的合理性
DOI：
10.1007/978-3-319-29959-4_13
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发表时间：
2015
期刊：
影响因子：
--
通讯作者：
A. Verra
中科院分区：
文献类型：
--
作者：
A. Verra
本文研究亏格为8的Nikulin曲面及其模。作为典型的至少在低属，家庭的表面进行调查坐在一个迷人的系统的关系，以其他已知的几何家庭。我们的目的是揭示这些关系之一，即发生在亏格8的Nikulin曲面的模和有理六次曲线在GrassmannianG（1，4）的Hilbert计划。我们将研究特征为零的代数闭域。
In this note we study Nikulin surfaces of genus 8 and their moduli. As typical at least in low genus, the family of surfaces to be investigated sits in a fascinating system of relations to other known geometric families. Our aim is to unveil one of these relations, namely that occurring between the moduli of Nikulin surfaces of genus 8 and the Hilbert scheme of rational sextic curves in the GrassmannianG(1, 4). We will work over an algebraically closed fieldkof characteristic zero.