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A note on Mustaţă's computation of multiplier ideals of hyperplane arrangements
Author(s):
Zach
Teitler
Journal:
Proc. Amer. Math. Soc.
136
(2008),
1575-1579.
MSC (2000):
Primary 14B05;
Secondary 52C35
Posted:
November 30, 2007
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Abstract:
In 2006, M. Mustaţă used jet schemes to compute the multiplier ideals of reduced hyperplane arrangements. We give a simpler proof using a log resolution and generalize to non-reduced arrangements. By applying the idea of wonderful models introduced by De Concini-Procesi in 1995, we also simplify the result. Indeed, Mustaţă's result expresses the multiplier ideal as an intersection, and our result uses (generally) fewer terms in the intersection.
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Also available at http://front.math.ucdavis.edu/math.AG/0508308 arXiv:math.A G/0508308. MR 2324623
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Additional Information:
Zach
Teitler
Affiliation:
Department of Mathematics, Southeastern Louisiana University, SLU 10687, Hammond, Louisiana 70401
Email:
zteitler@selu.edu
DOI:
10.1090/S0002-9939-07-09177-0
PII:
S 0002-9939(07)09177-0
Keywords:
Multiplier ideals,
hyperplane arrangements,
wonderful models
Received by editor(s):
October 12, 2006
Received by editor(s) in revised form:
March 1, 2007
Posted:
November 30, 2007
Communicated by:
Bernd Ulrich
Copyright of article:
Copyright
2007,
American Mathematical Society
The copyright for this article reverts to public domain after 28 years from publication.
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