THE MODULI SPACE OF ETALE DOUBLE COVERS OF GENUS 5 CURVES IS UNIRATIONAL

被引：10

作者：

Izadi, Elham ^{[1
]}

Lo Giudice, Marco ^{[2
]}

Sankaran, Gregory Kumar ^{[2
]}

机构：

[1] Univ Georgia, Dept Math, Athens, GA 30602 USA

[2] Univ Bath, Dept Math Sci, Bath BA2 7AY, Avon, England

来源：

PACIFIC JOURNAL OF MATHEMATICS | 2009年 / 239卷 / 01期

关键词：

Prym variety; moduli; canonical curve; PRYM VARIETIES; RATIONALITY;

D O I：

10.2140/pjm.2009.239.39

中图分类号：

O1 [数学];

学科分类号：

0701 ; 070101 ;

摘要：

We show that the coarse moduli space R-5 of etale double covers of curves of genus 5 over the complex numbers is unirational. We give two slightly different arguments, one purely geometric and the other more computational.

引用

页码：39 / 52

页数：14

共 50 条

[21] The Chow ring of the moduli space of curves of genus six
Penev, Nikola
Vakil, Ravi
[J]. ALGEBRAIC GEOMETRY, 2015, 2 (01): : 123 - 136
[22] The Chow ring of the moduli space of curves of genus zero
Tavakol, Mehdi
[J]. JOURNAL OF PURE AND APPLIED ALGEBRA, 2017, 221 (04) : 757 - 772
[23] The rationality of the moduli space of bielliptic curves of genus five
Casnati, G
delCentina, A
[J]. BULLETIN OF THE LONDON MATHEMATICAL SOCIETY, 1996, 28 : 356 - 362
[24] IRREDUCIBILITY OF MODULI SPACES OF CYCLIC UNRAMIFIED COVERS OF GENUS-G CURVES
BIGGERS, R
FRIED, M
[J]. TRANSACTIONS OF THE AMERICAN MATHEMATICAL SOCIETY, 1986, 295 (01) : 59 - 70
[25] THE MODULI SPACE OF CURVES OF GENUS 2 COVERING ELLIPTIC-CURVES
MURABAYASHI, N
[J]. MANUSCRIPTA MATHEMATICA, 1994, 84 (02) : 125 - 133
[26] Heegner divisors in the moduli space of genus three curves
Artebani, Michela
[J]. TRANSACTIONS OF THE AMERICAN MATHEMATICAL SOCIETY, 2008, 360 (03) : 1581 - 1599
[27] The moduli space of real algebraic curves of genus 2
Cirre, FJ
[J]. PACIFIC JOURNAL OF MATHEMATICS, 2003, 208 (01) : 53 - 72
[28] EXPLICIT COMPLETE CURVES IN THE MODULI SPACE OF CURVES OF GENUS-3
ZAAL, C
[J]. GEOMETRIAE DEDICATA, 1995, 56 (02) : 185 - 196
[29] MODULI OF P-COVERS OF CURVES
HARBATER, D
[J]. COMMUNICATIONS IN ALGEBRA, 1980, 8 (12) : 1095 - 1122
[30] Tropical Curves and Covers and Their Moduli Spaces
Markwig H.
[J]. Jahresbericht der Deutschen Mathematiker-Vereinigung, 2020, 122 (3) : 139 - 166

← 1 2 3 4 5 →