Birational Properties of Some Moduli Spaces Related to Tetragonal Curves of Genus 7

被引：5

作者：

Boehning, Christian ^{[1
,2
]}

von Bothmer, Hans-Christian Graf ^{[2
]}

Casnati, Gianfranco ^{[3
]}

机构：

[1] Univ Hamburg, Fachbereich Math, D-20146 Hamburg, Germany

[2] Univ Gottingen, Math Inst, D-37073 Gottingen, Germany

[3] Politecn Torino, Dipartimento Matemat, I-10129 Turin, Italy

来源：

INTERNATIONAL MATHEMATICS RESEARCH NOTICES | 2012年 / 2012卷 / 22期

关键词：

KODAIRA DIMENSION; RATIONALITY; UNIRATIONALITY; VARIETY; GEOMETRY; SYZYGIES;

D O I：

10.1093/imrn/rnr230

中图分类号：

O1 [数学];

学科分类号：

0701 ; 070101 ;

摘要：

Let M-7,M-n be the (coarse) moduli space of smooth curves of genus 7 with n >= 0 marked points defined over the complex field C. We denote by M-7, n; 4(1) the locus of points inside M-7,M- n representing curves carrying a g(4)(1). It is classically known that M-7, n; 4(1) is irreducible of dimension 17 + n. We prove in this paper that M-7, n; 4(1) is rational for 0 <= n <= 11.

引用

页码：5219 / 5245

页数：27

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