On the Realization of Line Arrangements as Multiplier Ideals.

Multiplier Ideals;Line Arrangements;Integrally Closed Ideals;Mathematics;Science;Mathematics

Lee, KyungyongSmith, Karen E. ;

University of Michigan

关键词: Multiplier Ideals;    Line Arrangements;    Integrally Closed Ideals;    Mathematics;    Science;    Mathematics;   

Others  :  https://deepblue.lib.umich.edu/bitstream/handle/2027.42/60802/kyungl_1.pdf?sequence=1&isAllowed=y

瑞士|英语

来源: The Illinois Digital Environment for Access to Learning and Scholarship

【 摘 要 】

We study the question of whether the ideal$I_r subset mathcal{O}_{C^3}$ of $r$ very general lines passing through the origin can be realized as a multiplier ideal. We show that when $r leq 10$,$I_r$ is a multiplier ideal. When $r gg