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Multiplier ideals of hyperplane arrangements
Author(s):
Mircea
Mustata
Journal:
Trans. Amer. Math. Soc.
358
(2006),
5015-5023.
MSC (2000):
Primary 14B05;
Secondary 52C35
Posted:
June 13, 2006
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Abstract:
In this note we compute multiplier ideals of hyperplane arrangements. This is done using the interpretation of multiplier ideals in terms of spaces of arcs by Ein, Lazarsfeld, and Mustata (2004).
References:
-
- [ELM]
- L. Ein, R. Lazarsfeld and M. Mustata, Contact loci in arc spaces, Compos. Math. 140 (2004), 1229-1244. MR 2081163 (2005f:14006)
- [ELSV]
- L. Ein, R. Lazarsfeld, K. E. Smith and D. Varolin, Jumping coefficients of multiplier ideals, Duke Math. J. 123 (2004), 469-506. MR 2068967
- [How1]
- J. Howald, Multiplier ideals of sufficiently general polynomials, preprint, math.AG/0303203.
- [How2]
- J. Howald, Multiplier ideals of monomial ideals, Trans. Amer. Math. Soc. 353 (2001), 2665-2671. MR 1828466 (2002b:14061)
- [Laz]
- R. Lazarsfeld, Positivity in algebraic geometry II, Ergebnisse der Mathematik und ihrer Grenzgebiete. 3. Folge, A series of Modern Surveys in Mathematics, Vol. 49, Springer-Verlag, Berlin, 2004.
- [OT]
- P. Orlik and H. Terao, Arrangements of hyperplanes, Grundlehren der Mathematischen Wissenschaften, Vol. 300, Springer-Verlag, New York, 1992. MR 1217488 (94e:52014)
- [Wal]
- U. Walther, Bernstein-Sato polynomial versus cohomology of the Milnor fiber for generic hyperplane arrangements, Compos. Math., 41 (2005), 121-145. MR 2099772
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Additional Information:
Mircea
Mustata
Affiliation:
Department of Mathematics, University of Michigan, Ann Arbor, Michigan 48109
Email:
mmustata@umich.edu
DOI:
10.1090/S0002-9947-06-03895-5
PII:
S 0002-9947(06)03895-5
Keywords:
Arcs,
multiplier ideals,
hyperplane arrangements
Received by editor(s):
February 20, 2004
Received by editor(s) in revised form:
November 5, 2004
Posted:
June 13, 2006
Additional Notes:
The author served as a Clay Mathematics Institute Research Fellow while this research was conducted.
Copyright of article:
Copyright
2006,
American Mathematical Society
The copyright for this article reverts to public domain after 28 years from publication.
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