Logarithmic differential operators and logarithmic de Rham complexes relative to a free divisor
Annales scientifiques de l'École Normale Supérieure (1999)
- Volume: 32, Issue: 5, page 701-714
- ISSN: 0012-9593
Access Full Article
topHow to cite
topCalderón-Moreno, Francisco J.. "Logarithmic differential operators and logarithmic de Rham complexes relative to a free divisor." Annales scientifiques de l'École Normale Supérieure 32.5 (1999): 701-714. <http://eudml.org/doc/82499>.
@article{Calderón1999,
author = {Calderón-Moreno, Francisco J.},
journal = {Annales scientifiques de l'École Normale Supérieure},
keywords = {Malgrange-Kashiwara filtration; logarithmic derivation; Spencer complex; Koszul free divisor; ring of differential operators; perverse logarithmic de Rham complex},
language = {eng},
number = {5},
pages = {701-714},
publisher = {Elsevier},
title = {Logarithmic differential operators and logarithmic de Rham complexes relative to a free divisor},
url = {http://eudml.org/doc/82499},
volume = {32},
year = {1999},
}
TY - JOUR
AU - Calderón-Moreno, Francisco J.
TI - Logarithmic differential operators and logarithmic de Rham complexes relative to a free divisor
JO - Annales scientifiques de l'École Normale Supérieure
PY - 1999
PB - Elsevier
VL - 32
IS - 5
SP - 701
EP - 714
LA - eng
KW - Malgrange-Kashiwara filtration; logarithmic derivation; Spencer complex; Koszul free divisor; ring of differential operators; perverse logarithmic de Rham complex
UR - http://eudml.org/doc/82499
ER -
References
top- [1] J.E. BJÖRK, Rings of Differential Operators, (North Holland, Amsterdam, 1979). Zbl0499.13009
- [2] N. BOURBAKI, Algèbre Commutative, Chapitres 3 et 4, (Actualités Scientifiques et Industrielles, Vol. 1293, Hermann, Paris, 1967).
- [3] C. BĂNICĂ and O. STĂNĂSILĂ, Algebraic methods in the global theory of complex spaces, (John Wiley, New York, 1976). Zbl0334.32001
- [4] F.J. CALDERÓN-MORENO, Quelques propriétés de la V-filtration relative à un diviseur libre, (Comptes Rendus Acad. Sci. Paris, t. 323, Série I, 1996, pp. 377-381). Zbl0862.32006MR97i:32048
- [5] F.J. CALDERÓN-MORENO, D. MOND, L. NARVÁEZ-MACARRO and F.J. CASTRO-JIMÉNEZ, Logarithmic Cohomology of the complement of a Plane Curve. (Preprint, Univ. of Warwick, 1999). Zbl1010.32016
- [6] F.J. CASTRO-JIMÉNEZ, D. MOND and L. NARVÁEZ-MACARRO, Cohomology of the complement of a free divisor, (Transactions of the A.M.S., Vol. 348, 1996, pp. 3037-3049). Zbl0862.32021MR96k:32072
- [7] J. DAMON, Higher multiplicities and Almost Free Divisor and Complete Intersections, (Memoirs of the A.M.S., Vol. 589, 1996). Zbl0867.32015MR97d:32050
- [8] P. DELIGNE, Equations Différentielles à Points Singuliers Réguliers, (Lect. Notes in Math, Vol. 163, Springer-Verlag, 1987). Zbl0244.14004MR54 #5232
- [9] H. ESNAULT and E. VIEHWEG, Logarithmic De Rham complexes and vanishing theorems. Invent. Math., Vol. 86, 1986, pp. 161-194). Zbl0603.32006MR87j:32088
- [10] C. GODBILLON, Géométrie Différentielle et Mécanique Analytique. (Collection Méthodes, Hermann, Paris, 1969). Zbl0174.24602MR39 #3416
- [11] M. KASHIWARA, Vanishing cycle sheaves and holonomic systems of differential equations, (Lect. Notes in Math, Vol. 1012, 1983, pp. 134-142). Zbl0566.32022MR85e:58137
- [12] B. MALGRANGE, Le polynôme de Bernstein-Sato et cohomologie évanescente, (Astérisque, Vol. 101-102, 1983, pp. 233-267). Zbl0528.32007MR86f:58148
- [13] Z. MEBKHOUT, Le formalisme des six opérations de Grothendieck pour les Dx-modules cohérents, (Travaux en cours, Vol. 35, 1989, Hermann, Paris). Zbl0686.14020MR90m:32026
- [14] F. PHAM, Singularités des systèmes de Gauss-Manin, (Progress in Math, Vol. 2, Birkhäuser, 1979). Zbl0524.32015MR81h:32015
- [15] G.S. RINEHART, Differential forms on general commutative algebras, (Trans. A.M.S., Vol. 108, 1963, pp. 195-222). Zbl0113.26204MR27 #4850
- [16] K. SAITO, On the uniformization of complements of discriminant loci. (Preprint, Willians College, 1975).
- [17] K. SAITO, Theory of logarithmic differential forms and logarithmic vector fields. (J. Fac. Sci. Univ. Tokyo, Vol. 27, 1980, pp. 265-291). Zbl0496.32007MR83h:32023
- [18] H. TERAO, Arrangements of hyperplanes and their freeness-I. (J. Fac. Sci. Univ. Tokyo, Vol. 27, 1980, pp. 293-312). Zbl0509.14006MR84i:32016a
Citations in EuDML Documents
top- Michele Torielli, Deformations of free and linear free divisors
- Francisco Javier Calderón Moreno, Luis Narváez Macarro, Dualité et comparaison pour les complexes de de Rham logarithmiques par rapport aux diviseurs libres
- Michel Gros, Sur le -module associé au complexe des cycles proches et ses variantes -adiques
- Tristan Torrelli, On meromorphic functions defined by a differential system of order
- G. Denham, H. Schenck, M. Schulze, M. Wakefield, U. Walther, Local cohomology of logarithmic forms
NotesEmbed ?
topTo embed these notes on your page include the following JavaScript code on your page where you want the notes to appear.