NON-POLYHEDRAL EFFECTIVE CONES FROM THE MODULI SPACE OF CURVES

被引：1

作者：

Mullane, Scott ^{[1
]}

机构：

[1] Goethe Univ Frankfurt, Inst Math, Robert Mayer Str 6-8, D-60325 Frankfurt, Germany

来源：

TRANSACTIONS OF THE AMERICAN MATHEMATICAL SOCIETY | 2021年 / 374卷 / 09期

关键词：

KODAIRA DIMENSION; DIVISORS;

D O I：

10.1090/tran/8365

中图分类号：

O1 [数学];

学科分类号：

0701 ; 070101 ;

摘要：

We show that the pseudoeffective cone of divisors (Eff)over-bar(1) ((M) over bar (g,n)) for g >= 2 and n >= 2 is not polyhedral by showing that the class of the fibre of the morphism forgetting one point forms an extremal ray of the dual nef cone of curves (Nef)over-bar(1) ((M) over bar (g,n)) and the cone at this ray is not polyhedral.

引用

页码：6397 / 6415

页数：19

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