Algebraic hyperbolicity for surfaces in toric threefolds

IF 0.9 1区数学 Q2 MATHEMATICS

Journal of Algebraic Geometry Pub Date : 2019-03-07 DOI:10.1090/JAG/770

Christian Haase, N. Ilten

引用次数: 5

Abstract

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.

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环面三折曲面的代数双曲性

采用Chiantini和Lopez使用的焦点轨迹技术，我们提供了在Gorenstein环三折中非常一般的曲面中包含的曲线的下界。我们通过得到环面三折中非常一般曲面的代数双曲性的结果来说明这些界的效用。

本文章由计算机程序翻译，如有差异，请以英文原文为准。

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来源期刊

Journal of Algebraic Geometry 数学-数学

CiteScore

2.70

自引率

5.60%

发文量

审稿时长

>12 weeks

期刊介绍： The Journal of Algebraic Geometry is devoted to research articles in algebraic geometry, singularity theory, and related subjects such as number theory, commutative algebra, projective geometry, complex geometry, and geometric topology. This journal, published quarterly with articles electronically published individually before appearing in an issue, is distributed by the American Mathematical Society (AMS). In order to take advantage of some features offered for this journal, users will occasionally be linked to pages on the AMS website.