Numerical properties of exceptional divisors of birational morphisms of smooth surfaces

被引：0
|
作者：
Vicente Lorenzo
Margarida Mendes Lopes
Rita Pardini
机构：
[1] Universidade de Lisboa,Departamento de Matemática, Instituto Superior de Economia e Gestão
[2] Universidade de Lisboa,Departamento de Matemática, Instituto Superior Técnico
[3] Università di Pisa,Dipartimento di Matematica
来源：
Rendiconti del Circolo Matematico di Palermo Series 2 | 2023年 / 72卷
关键词：
Effective divisors on projective surfaces; Exceptional divisors on projective surfaces; Projective surfaces with non negative Kodaira dimension; -curves; Birational morphism; Number of canonical singularities; 14J17; 14E05; 14J99.;
D O I：
暂无
中图分类号：
学科分类号：
摘要：
We make a very detailed analysis of effective divisors whose support is contained in the exceptional locus of a birational morphism of smooth projective surfaces. As an application we extend Miyaoka’s inequality on the number of canonical singularities on a projective normal surface with non-negative Kodaira dimension to the non minimal case, obtaining a slightly better result than known extensions by Megyesi and Langer.
引用
收藏
页码：2363 / 2374
页数：11
相关论文
共 50 条
12345