The Michigan Mathematical Journal

Syzygies of multiplier ideals on singular varieties

Robert Lazarsfeld, Kyungyong Lee, and Karen E. Smith

Source: Michigan Math. J. Volume 57 (2008), 511-521.

Primary Subjects: 14F17, 13D02

Full-text: Access denied (no subscription detected)

We're sorry, but we are unable to provide you with the full text of this article because we are not able to identify you as a subscriber.
If you have a personal subscription to this journal, then please login. If you are already logged in, then you may need to update your profile to register your subscription. Read more about accessing full-text
Links and Identifiers

Permanent link to this document: http://projecteuclid.org/euclid.mmj/1220879422
Digital Object Identifier: doi:10.1307/mmj/1220879422
Mathematical Reviews number (MathSciNet): MR2492466
Zentralblatt MATH identifier: 05604545

References

L. Ein, R. Lazarsfeld, K. E. Smith, and D. Varolin, Jumping coefficients of multiplier ideals, Duke Math. J. 123 (2004), 469--506.
Mathematical Reviews (MathSciNet): MR2068967
Digital Object Identifier: doi:10.1215/S0012-7094-04-12333-4
Project Euclid: euclid.dmj/1086957714
C. Favre and M. Jonsson, Valuations and multiplier ideals, J. Amer. Math. Soc. 18 (2005), pp. 655--684.
Mathematical Reviews (MathSciNet): MR2138140
Digital Object Identifier: doi:10.1090/S0894-0347-05-00481-9
N. Hara, A characterization of rational singularities in terms of injectivity of Frobenius maps, Amer. J. Math. 120 (1998), 981--996.
Mathematical Reviews (MathSciNet): MR1646049
Zentralblatt MATH: 0942.13006
Digital Object Identifier: doi:10.1353/ajm.1998.0037
------, Geometric interpretation of tight closure and test ideals, Trans. Amer. Math. Soc. 353 (2001), 1885--1906.
Mathematical Reviews (MathSciNet): MR1813597
Digital Object Identifier: doi:10.1090/S0002-9947-01-02695-2
M. Hochster and C. Huneke, Tight closure, invariant theory, and the Briançon--Skoda theorem, J. Amer. Math. Soc. 3 (1990), 31--116.
Mathematical Reviews (MathSciNet): MR1017784
Digital Object Identifier: doi:10.2307/1990984
------, Comparison of symbolic and ordinary powers of ideals, Invent. Math. 147 (2002), 349--369.
Mathematical Reviews (MathSciNet): MR1881923
Digital Object Identifier: doi:10.1007/s002220100176
------, Tight closure in equal characteristic zero with an introduction to the characteristic p theory, Springer-Verlag, New York, 2007.
C. Huneke and K. E. Smith, Tight closure and the Kodaira vanishing theorem, J. Reine Angew. Math. 484 (1997), 127--152.
Mathematical Reviews (MathSciNet): MR1437301
R. Lazarsfeld, Positivity in algebraic geometry, I. & II. Ergeb. Math. Grenzgeb. (3), 48 & 49, Springer-Verlag, Berlin, 2004.
Mathematical Reviews (MathSciNet): MR2095471
R. Lazarsfeld and K. Lee, Local syzygies of multiplier ideals, Invent. Math. 167 (2007) 409--418.
Mathematical Reviews (MathSciNet): MR2270459
Digital Object Identifier: doi:10.1007/s00222-006-0019-9
J. Lipman and B. Tessier, Pseudorational local rings and a theorem of Briançon--Skoda about integral closures of ideals, Michigan Math. J. 28 (1981), 97--116.
Mathematical Reviews (MathSciNet): MR600418
Digital Object Identifier: doi:10.1307/mmj/1029002461
Project Euclid: euclid.mmj/1029002461
J. Lipman and K. Watanabe, Integrally closed ideals in two-dimensional regular local rings are multiplier ideals, Math. Res. Lett. 10 (2003), 423--434.
Mathematical Reviews (MathSciNet): MR1995782
V. B. Mehta and V. Srinivas, A characterization of rational singularities, Asian J. Math. 1 (1997), 249--271.
Mathematical Reviews (MathSciNet): MR1491985
M. Scott Osborne, Basic homological algebra, Grad. Texts in Math., 196, Springer-Verlag, New York, 2000.
Mathematical Reviews (MathSciNet): MR1757274
Zentralblatt MATH: 0948.18001
K. E. Smith, Test ideals in local rings, Trans. Amer. Math. Soc. 347 (1995), 3453--3472.
Mathematical Reviews (MathSciNet): MR1311917
Digital Object Identifier: doi:10.2307/2155019
------, $F$-rational rings have rational singularities, Amer. J. Math. 119 (1997), 159--180.
Mathematical Reviews (MathSciNet): MR1428062
Zentralblatt MATH: 0910.13004
Digital Object Identifier: doi:10.1353/ajm.1997.0007
------, The multiplier ideal is a universal test ideal, Comm. Algebra 28 (2000), 5915--5929.
Mathematical Reviews (MathSciNet): MR1808611
Digital Object Identifier: doi:10.1080/00927870008827196

2009 © The University of Michigan