ON INTEGRAL ZARISKI DECOMPOSITIONS OF PSEUDOEFFECTIVE DIVISORS ON ALGEBRAIC SURFACES

被引:2
|
作者
Harbourne, B. [1 ,2 ]
Pokora, P. [3 ]
Tutaj-Gasinska, H. [4 ]
机构
[1] Univ Nebraska, Dept Math, Lincoln, NE 68588 USA
[2] Pedag Univ Cracow, Inst Math, PL-30084 Krakow, Poland
[3] Johannes Gutenberg Univ Mainz, Inst Math, D-55099 Mainz, Germany
[4] Jagiellonian Univ, Dept Math & Comp Sci, PL-30348 Krakow, Poland
关键词
Zariski decomposition; K3; surfaces; blow ups; projective plane;
D O I
10.3934/era.2015.22.103
中图分类号
O1 [数学];
学科分类号
0701 ; 070101 ;
摘要
In this note we consider the problem of integrality of Zariski decompositions for pseudoeffective integral divisors on algebraic surfaces. We show that while sometimes integrality of Zariski decompositions forces all negative curves to be (-1)-curves, there are examples where this is not true.
引用
收藏
页码:103 / 108
页数:6
相关论文
共 50 条