JUMPING NUMBERS OF HYPERPLANE ARRANGEMENTS

被引:2
作者
Budur, Nero [1 ]
机构
[1] Univ Notre Dame, Dept Math, Notre Dame, IN 46556 USA
关键词
Arrangements; Multiplier ideals; Spectrum; MULTIPLIER IDEALS;
D O I
10.1080/00927870902897913
中图分类号
O1 [数学];
学科分类号
0701 ; 070101 ;
摘要
Saito [8] proved that the jumping numbers of a hyperplane arrangement depend only on the combinatorics of the arrangement. However, a formula in terms of the combinatorial data was still missing. In this note, we give a formula and a different proof of the fact that the jumping numbers of a hyperplane arrangement depend only on the combinatorics. We also give a combinatorial formula for part of the Hodge spectrum and for the inner jumping multiplicities.
引用
收藏
页码:1122 / 1136
页数:15
相关论文
共 10 条
[1]   Multiplier ideals, V-filtration, and spectrum [J].
Budur, N ;
Saito, M .
JOURNAL OF ALGEBRAIC GEOMETRY, 2005, 14 (02) :269-282
[2]   On Hodge spectrum and multiplier ideals [J].
Budur, N .
MATHEMATISCHE ANNALEN, 2003, 327 (02) :257-270
[3]  
De Concini Corrado, 1995, Selecta Mathematica, V1, P459, DOI 10.1007/BF01589496
[4]  
Dimca A., 1992, SINGULARITIES TOPOLO
[5]  
Fulton W, 1998, ERGEBNISSE MATH IHRE
[6]  
Lazarsfeld R., 2004, ERGEBNISSE MATH IHRE, V49
[7]   Multiplier ideals of hyperplane arrangements [J].
Mustata, Mircea .
TRANSACTIONS OF THE AMERICAN MATHEMATICAL SOCIETY, 2006, 358 (11) :5015-5023
[8]  
SAITO M, JUMPING COEFFI UNPUB
[9]  
STEENBRINK JHM, 1989, ASTERISQUE, P163
[10]  
Teitler Z, 2008, P AM MATH SOC, V136, P1575