@article{ASENS_2007_4_40_6_985_0, author = {Andersson, Mats and Wulcan, Elizabeth}, title = {Residue currents with prescribed annihilator ideals}, journal = {Annales scientifiques de l'\'Ecole Normale Sup\'erieure}, pages = {985--1007}, publisher = {Elsevier}, volume = {Ser. 4, 40}, number = {6}, year = {2007}, doi = {10.1016/j.ansens.2007.11.001}, mrnumber = {2419855}, zbl = {1143.32003}, language = {en}, url = {http://www.numdam.org/articles/10.1016/j.ansens.2007.11.001/} }
TY - JOUR AU - Andersson, Mats AU - Wulcan, Elizabeth TI - Residue currents with prescribed annihilator ideals JO - Annales scientifiques de l'École Normale Supérieure PY - 2007 SP - 985 EP - 1007 VL - 40 IS - 6 PB - Elsevier UR - http://www.numdam.org/articles/10.1016/j.ansens.2007.11.001/ DO - 10.1016/j.ansens.2007.11.001 LA - en ID - ASENS_2007_4_40_6_985_0 ER -
%0 Journal Article %A Andersson, Mats %A Wulcan, Elizabeth %T Residue currents with prescribed annihilator ideals %J Annales scientifiques de l'École Normale Supérieure %D 2007 %P 985-1007 %V 40 %N 6 %I Elsevier %U http://www.numdam.org/articles/10.1016/j.ansens.2007.11.001/ %R 10.1016/j.ansens.2007.11.001 %G en %F ASENS_2007_4_40_6_985_0
Andersson, Mats; Wulcan, Elizabeth. Residue currents with prescribed annihilator ideals. Annales scientifiques de l'École Normale Supérieure, Série 4, Tome 40 (2007) no. 6, pp. 985-1007. doi : 10.1016/j.ansens.2007.11.001. http://www.numdam.org/articles/10.1016/j.ansens.2007.11.001/
[1] Residue currents and ideals of holomorphic functions, Bull. Sci. Math. 128 (2004) 481-512. | MR | Zbl
,[2] Ideals of smooth functions and residue currents, J. Funct. Anal. 212 (1) (2004) 76-88. | MR | Zbl
,[3] The membership problem for polynomial ideals in terms of residue currents, Ann. Inst. Fourier 56 (2006) 101-119. | Numdam | MR | Zbl
,[4] Residue currents of holomorphic morphisms, J. reine angew. Math. 596 (2006) 215-234. | MR | Zbl
,[5] Integral representation with weights II, division and interpolation formulas, Math. Z. 254 (2006) 315-332. | MR | Zbl
,[6] What can be computed in algebraic geometry?, in: Computational Algebraic Geometry and Commutative Algebra, Cortona, 1991, Sympos. Math., vol. XXXIV, Cambridge Univ. Press, Cambridge, 1993, pp. 1-48. | MR | Zbl
, ,[7] Monomial resolutions, Math. Res. Lett. 5 (1-2) (1998) 31-46. | Zbl
, , ,[8] A criterion for detecting m-regularity, Invent. Math. 87 (1987) 1-11. | MR | Zbl
, ,[9] Cellular resolutions of monomial modules, J. reine angew. Math. 502 (1998) 123-140. | MR | Zbl
, ,[10] About L. Ehrenpreis fundamental principle, in: Geometrical and Algebraical Aspects in Several Complex Variables, Cetraro, 1989, Sem. Conf., vol. 8, EditEl, Rende, 1991, pp. 47-61. | MR | Zbl
, ,[11] Effective Bezout identities in , Acta Math. 166 (1991) 69-120. | MR | Zbl
, ,[12] Residue Currents and Bézout Identities, Birkhäuser, 1993. | MR | Zbl
, , , ,[13] A formula for division and interpolation, Math. Ann. 263 (1983). | EuDML | MR | Zbl
,[14] Integral formulas and an explicit version of the fundamental principle, J. Funct. Anal. 84 (1989). | MR | Zbl
, ,[15] Residues and -modules, in: The legacy of Niels Henrik Abel, Springer, Berlin, 2004, pp. 605-651. | MR | Zbl
,[16] Les courants résiduels associés à une forme méromorphe, Lect. Notes in Math., vol. 633, Springer-Verlag, Berlin-Heidelberg-New York, 1978. | Zbl
, ,[17] Demailly J.P., Complex Analytic and Differential Geometry Monograph Grenoble, 1997.
[18] Canonical representatives in moderate cohomology, Invent. Math. 80 (1985) 417-434. | EuDML | MR | Zbl
, ,[19] Analytic functionals annihilated by ideals, Manuscripta Math. 90 (1996) 175-223. | EuDML | MR | Zbl
, , , ,[20] Fourier Analysis in Several Complex Variables, Pure and Applied Mathematics, vol. XVII, Wiley-Interscience Publishers. A Division of John Wiley and Sons, New York-London-Sydney, 1970. | Zbl
,[21] Commutative Algebra. With a View Toward Algebraic Geometry, Graduate Texts in Mathematics, vol. 150, Springer-Verlag, New York, 1995. | MR | Zbl
,[22] The Geometry of Syzygies. A Second Course in Commutative Algebra and Algebraic Geometry, Graduate Texts in Mathematics, vol. 229, Springer-Verlag, New York, 2005. | MR | Zbl
,[23] Principles of Algebraic Geometry, John Wiley and Sons, 1978. | MR | Zbl
, ,[24] Analytic Functions of Several Complex Variables, Prentice-Hall Inc., Englewood Cliffs, NJ, 1965. | MR | Zbl
, ,[25] An Introduction to Complex Analysis in Several Variables, North-Holland Mathematical Library, vol. 7, Second revised edition, North-Holland Publishing Co., American Elsevier Publishing Co., Inc., Amsterdam-London/New York, 1973. | Zbl
,[26] The Analysis of Linear Partial Differential Operators I, second ed., Springer-Verlag, 1990. | Zbl
,[27] The complexity of the word problem for commutative semigroups and polynomial ideals, Adv. Math. 46 (1982) 305-329. | MR | Zbl
, ,[28] Combinatorial Commutative Algebra, Graduate Texts in Mathematics, vol. 227, Springer-Verlag, New York, 2005. | MR | Zbl
, ,[29] Über einen Satz aus der Theorie der algebraischen Functionen, Math. Ann. (1873) 351-359. | EuDML | JFM | MR
,[30] Linear Differential Operators with Constant Coefficients, Translated from the Russian by A.A. Brown, Die Grundlehren der mathematischen Wissenschaften, vol. 168, Springer-Verlag, New York-Berlin, 1970. | Zbl
,[31] Residues, currents, and their relation to ideals of holomorphic functions, Math. Scand. 62 (1988) 75-152. | EuDML | MR | Zbl
,[32] Formules de division et prolongement méromorphe, in: Séminaire d'Analyse P. Lelong-P. Dolbeault-H. Skoda, Années 1985/1986, Lecture Notes in Math., vol. 1295, Springer, Berlin, 1987, pp. 226-283. | Zbl
,[33] Residue currents of the Bochner-Martinelli type, Publ. Mat. 44 (2000) 85-117. | EuDML | Zbl
, , ,[34] Superconnections and the Chern character, Topology 24 (1985) 89-95. | MR | Zbl
,[35] Degree bounds for the division problem in polynomial ideals, Michigan Math. J. 36 (1989) 163-171. | MR | Zbl
,[36] Residue currents of monomial ideals, Indiana Univ. J. 56 (2007) 36-388. | MR | Zbl
,[37] Wulcan E., Residue currents and their annihilator ideals, Thesis Gothenburg, 2007.
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