The uniruledness of the Prym moduli space of genus 9

被引：0

作者：

Farkas, Gavril ^{[1
]}

Verra, Alessandro ^{[2
]}

机构：

[1] Humboldt Univ, Inst Math, Unter Linden 6, D-10099 Berlin, Germany

[2] Univ Roma Tre, Dipartimento Matemat, Largo San Leonardo Murialdo 1, I-00146 Rome, Italy

来源：

ADVANCES IN MATHEMATICS | 2024年 / 448卷

基金：

欧洲研究理事会;

关键词：

Prym varieties; Moduli space of Prym varieties; Uniruled variety; Kodaira dimension; KODAIRA DIMENSION; CURVES; VARIETIES; UNIRATIONALITY; RATIONALITY; DIVISORS;

D O I：

10.1016/j.aim.2024.109678

中图分类号：

O1 [数学];

学科分类号：

0701 ; 070101 ;

摘要：

We show that the moduli space R 9 of Prym curves of genus 9 is uniruled. This is the largest genus for which such a result is known to hold. (c) 2024 The Authors. Published by Elsevier Inc. This is an open access article under the CC BY license (http:// creativecommons .org /licenses /by /4 .0/).

引用

页数：19

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