A vanishing theorem for finitely supported ideals in regular local rings
Joseph Lipman
Source: Michigan Math. J. Volume 57 (2008), 573-585.
Primary Subjects: 13H05, 13C99, 14F17
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/1220879424
Digital Object Identifier: doi:10.1307/mmj/1220879424
Mathematical Reviews number (MathSciNet):
MR2492468
Zentralblatt MATH identifier:
05604547
References
A. Campillo, G. Gonzalez-Sprinberg, and M. Lejeune-Jalabert, Clusters of infinitely near points, Math. Ann. 306 (1996), 169--194.
Mathematical Reviews (MathSciNet):
MR1405323
Digital Object Identifier: doi:10.1007/BF01445246
S. D. Cutkosky, A vanishing theorem for local rings, Math. Res. Lett. 1 (1994), 752--754.
C. D'Cruz, Integral closedness of $M I$ and the formula of Hoskin and Deligne for finitely supported complete ideals, J. Algebra 304 (2006), 613--632.
Mathematical Reviews (MathSciNet):
MR2264272
Digital Object Identifier: doi:10.1016/j.jalgebra.2005.08.028
J. F. Gately, $*$-simple complete monomial ideals, Comm. Algebra 33 (2005), 2833--2849.
Mathematical Reviews (MathSciNet):
MR2159509
Digital Object Identifier: doi:10.1081/AGB-200065393
A. Grothendieck and J. Dieudonné, Élements de géométrie algébrique, III, Inst. Hautes Études Sci. Publ. Math. 11 (1961).
------, Élements de géométrie algébrique, IV, Inst. Hautes Études Sci. Publ. Math. 24 (1965).
H. Hironaka, Resolution of singularities of an algebraic variety over a field of characteristic zero, II, Ann. of Math. (2) 79 (1964), 205--326.
Mathematical Reviews (MathSciNet):
MR199184
Digital Object Identifier: doi:10.2307/1970547
JSTOR: links.jstor.org
S. Huckaba and C. Huneke, Normal ideals in regular rings, J. Reine Angew. Math. 510 (1999), 63--82.
Mathematical Reviews (MathSciNet):
MR1696091
Digital Object Identifier: doi:10.1515/crll.1999.049
E. Hyry, Blow-up rings and rational singularities, Manuscripta Math. 98 (1999), 377--390.
Mathematical Reviews (MathSciNet):
MR1717540
Digital Object Identifier: doi:10.1007/s002290050147
S. Itoh, Integral closures of ideals generated by regular sequences, J. Algebra 117 (1988), 390--401.
Mathematical Reviews (MathSciNet):
MR957448
Digital Object Identifier: doi:10.1016/0021-8693(88)90114-7
R. Lazarsfeld, Positivity in algebraic geometry, Springer-Verlag, Berlin, 2004.
J. Lipman, Desingularization of two-dimensional schemes, Ann. of Math. (2) 107 (1978), 151--207.
Mathematical Reviews (MathSciNet):
MR491722
Zentralblatt MATH:
0349.14004
Digital Object Identifier: doi:10.2307/1971141
JSTOR: links.jstor.org
------, On complete ideals in regular local rings, Algebraic geometry and commutative algebra, vol. 1, pp. 203--231, Kinokuniya, Tokyo, 1988.
Mathematical Reviews (MathSciNet):
MR977761
Zentralblatt MATH:
0693.13011
------, Proximity inequalities for complete ideals in two-dimensional regular local rings, Commutative algebra: Syzygies, multiplicities, and birational algebra (South Hadley, MA, 1992), Contemp. Math., 159, pp. 293--306, Amer. Math. Soc., Providence, RI, 1994.
Mathematical Reviews (MathSciNet):
MR1266187
Zentralblatt MATH:
0814.13016
------, Cohen--Macaulayness in graded algebras, Math. Res. Lett. 1 (1994), 149--157.
Mathematical Reviews (MathSciNet):
MR1266753
------, Adjoints of ideals in regular local rings, Math. Res. Lett. 1 (1994), 739--755.
Mathematical Reviews (MathSciNet):
MR1306018
J. Lipman and A. Sathaye, Jacobian ideals and a theorem of Briançon-Skoda, Michigan Math. J. 28 (1981), 199--222.
Mathematical Reviews (MathSciNet):
MR616270
Digital Object Identifier: doi:10.1307/mmj/1029002510
Project Euclid: euclid.mmj/1029002510
J. Lipman and B. Teissier, Pseudo-rational 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
E. Tostón, Finitely supported monomial complete ideals, preprint no. 67, Prepublicaciones del departamento de algebra, Universidad de Valladolid, 1997.
The Michigan Mathematical Journal
