ALGEBRAIC HYPERBOLICITY FOR SURFACES IN TORIC THREEFOLDS

被引：3

作者：

Haase, Christian ^{[1
]}

Ilten, Nathan ^{[2
]}

机构：

[1] Free Univ Berlin, Inst Math, Arnimallee 3, D-14195 Berlin, Germany

[2] Simon Fraser Univ, Dept Math, 8888 Univ Dr, Burnaby, BC V5A 1S6, Canada

来源：

JOURNAL OF ALGEBRAIC GEOMETRY | 2021年 / 30卷 / 03期

关键词：

SUBVARIETIES;

D O I：

10.1090/jag/770

中图分类号：

O1 [数学];

学科分类号：

0701 ; 070101 ;

摘要：

Adapting focal loci techniques used by Chiantini and Lopez, we provide lower bounds on the genera of curves contained in very general surfaces in Gorenstein toric threefolds. We illustrate the utility of these bounds by obtaining results on algebraic hyperbolicity of very general surfaces in toric threefolds.

引用

页码：573 / 602

页数：30

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