Density of quasismooth hypersurfaces in simplicial toric varieties

被引：1

作者：

Lindner, Niels ^{[1
]}

机构：

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

来源：

JOURNAL DE THEORIE DES NOMBRES DE BORDEAUX | 2017年 / 29卷 / 01期

关键词：

Bertini theorems; Finite fields; Toric varieties;

D O I：

10.5802/jtnb.979

中图分类号：

O1 [数学];

学科分类号：

0701 ; 070101 ;

摘要：

This paper investigates the density of hypersurfaces in a projective normal simplicial toric variety over a finite field having a quasismooth intersection with a given quasismooth sub scheme. The result generalizes the formula found by B. Poonen for smooth projective varieties. As an application, we further analyze the density of hypersurfaces with bounds on their number of singularities and on the length of their singular schemes.

引用

页码：261 / 288

页数：28

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