Multiplier ideals of hyperplane arrangements
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- by Mircea Mustaţǎ PDF
- Trans. Amer. Math. Soc. 358 (2006), 5015-5023 Request permission
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 Mustaţǎ (2004).References
- Lawrence Ein, Robert Lazarsfeld, and Mircea Mustaţǎ, Contact loci in arc spaces, Compos. Math. 140 (2004), no. 5, 1229–1244. MR 2081163, DOI 10.1112/S0010437X04000429
- Lawrence Ein, Robert Lazarsfeld, Karen E. Smith, and Dror Varolin, Jumping coefficients of multiplier ideals, Duke Math. J. 123 (2004), no. 3, 469–506. MR 2068967, DOI 10.1215/S0012-7094-04-12333-4
- J. Howald, Multiplier ideals of sufficiently general polynomials, preprint, math.AG/0303203.
- J. A. Howald, Multiplier ideals of monomial ideals, Trans. Amer. Math. Soc. 353 (2001), no. 7, 2665–2671. MR 1828466, DOI 10.1090/S0002-9947-01-02720-9
- 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.
- Peter Orlik and Hiroaki Terao, Arrangements of hyperplanes, Grundlehren der mathematischen Wissenschaften [Fundamental Principles of Mathematical Sciences], vol. 300, Springer-Verlag, Berlin, 1992. MR 1217488, DOI 10.1007/978-3-662-02772-1
- Uli Walther, Bernstein-Sato polynomial versus cohomology of the Milnor fiber for generic hyperplane arrangements, Compos. Math. 141 (2005), no. 1, 121–145. MR 2099772, DOI 10.1112/S0010437X04001149
Additional Information
- Mircea Mustaţǎ
- Affiliation: Department of Mathematics, University of Michigan, Ann Arbor, Michigan 48109
- Email: mmustata@umich.edu
- Received by editor(s): February 20, 2004
- Received by editor(s) in revised form: November 5, 2004
- Published electronically: June 13, 2006
- Additional Notes: The author served as a Clay Mathematics Institute Research Fellow while this research was conducted.
- © Copyright 2006
American Mathematical Society
The copyright for this article reverts to public domain 28 years after publication. - Journal: Trans. Amer. Math. Soc. 358 (2006), 5015-5023
- MSC (2000): Primary 14B05; Secondary 52C35
- DOI: https://doi.org/10.1090/S0002-9947-06-03895-5
- MathSciNet review: 2231883