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Derivations and the integral closure of ideals
Author(s):
Reinhold
Hübl;
Appendix by
Irena Swanson
Journal:
Proc. Amer. Math. Soc.
127
(1999),
3503-3511.
MSC (1991):
Primary 13N05, 13J10
Posted:
May 13, 1999
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Abstract:
Let  be a complete local domain containing the rationals. Then there exists an integer  such that for any ideal  , if  ,  , then there exists a derivation  of  with  .
References:
- [BKKN]
- Berger, R., Kiehl, R., Kunz, E., Nastold, H.J.: Differentialrechnung in der analytischen Geometrie. Lecture Notes in Mathematics 38. 1967 MR 37:469
- [F]
- Fedder, R.: A Frobenius characterization of rational singularity in two-dimensional graded rings. Trans. Amer. Math. Soc. 340, (1993), 655-668. MR 94b:13003
- [FHH]
- Fedder, R., Huneke, C., Hübl, R.: Zeros of Differential Forms along One-Fibered Ideals. Proc. Amer. Math. Soc. 108, (1990), 319 - 325. MR 90d:13020
- [Hn]
- C. Huneke: Uniform bounds in Noetherian rings, Invent. Math., 107 (1992), 203-223. MR 93b:13027
- [HS]
- Huneke, C., Smith, K.: Tight closure and the Kodaira Vanishing Theorem. J. reine angew. Math. 484 (1997), 127 - 152 MR 98e:13007
- [KD]
- Kunz, E.: Kähler Differentials. Vieweg. Braunschweig, Wiesbaden, 1986. MR 88e:14025
- [Li]
- Lipman J.: On Complete Ideals in Regular Local Rings. In: Algebraic Geometry and Commutative Algebra in Honor of Masayoshi NAGATA, (1988), 203-231. MR 90g:14003
- [LiS]
- Lipman, J., Sathaye, A.: Jacobian Ideals and a Theorem of Briancon-Skoda. Michigan Math. J. 28 (1981), 199 -222. MR 83m:13001
- [LiT]
- Lipman, J., Teissier, B.: Pseudo-Rational Local Rings and a Theorem of Briancon-Skoda about Integral Closures of Ideals. Michigan Math. J. 28 (1981), 97-116. MR 82f:14004
- [R1]
- D. Rees: Izumi's Theorem, in ``Commutative Algebra'', editors M. Hochster, C. Huneke and J.D. Sally, Springer-Verlag, 1989, 407-416. MR 90g:13010
- [R2]
- D. Rees: A note on analytically unramified local rings, J. London Math. Soc., 36 (1961), 24-28. MR 23:A3761
- [SS1]
- Scheja, G., Storch, U.: Differentielle Eigenschaften der Lokalisierungen analytischer Algebren. Math. Annalen 197, (1972), 137-170. MR 46:5299
- [SS2]
- Scheja, G., Storch, U.: Über differentielle Abhängigkeit bei Idealen analytischer Algebren. Math. Z. 114 (1970), 101-112. MR 41:8408
- [SW]
- Scheja, G., Wiebe, H.: Über Derivationen von lokalen analytischen Algebren. Symp. Math. XI (1973), 161-192. MR 49:3225
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Additional Information:
Reinhold
Hübl
Affiliation:
NWF I - Mathematik, Universität Regensburg, 93040 Regensburg, Germany
Email:
Reinhold.Huebl@Mathematik.Uni-Regensburg.de
Appendix by
Irena Swanson
Affiliation:
Department of Mathematical Sciences, New Mexico State University, Las Cruces, New Mexico 88003
Email:
iswanson@mnsu.edu
DOI:
10.1090/S0002-9939-99-04968-0
PII:
S 0002-9939(99)04968-0
Keywords:
K\"{a}hler differentials,
derivations
Received by editor(s):
November 20, 1997
Received by editor(s) in revised form:
February 24, 1998
Posted:
May 13, 1999
Additional Notes:
The author was partially supported by a Heisenberg--Stipendium of the DFG
The author of the appendix was partially supported by the National Science Foundation.
Communicated by:
Wolmer V. Vasconcelos
Copyright of article:
Copyright
1999,
American Mathematical Society
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