Table Of ContentLecture Notes ni
Mathematics
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Proceedings of the International Conference
on Algebraic Geometry
Held ta aL Rabida, Spain, January 7-15, 1891
Edited by .J M. Aroca, .R Buchweitz, M. Giusti,
dna .M Merle
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Editors
Jose Manuel Aroca
Facultad de Ciencias, Prado de la Magdalena
Valladolid, Spain
Ragnar Buchweitz
U niversit~t Hannover
Welfengarten ,1 3000 Hannover ,1 Federal Republic of Germany
Marc Giusti
Michel Merle
Centre de Mathematiques, Ecole Polytechnique
91128 Palaiseau Cedex, France
ISBN 3-540-11969-8 Springer-Verlag Berlin Heidelberg NewYork
ISBN 0-387-11969-8 Springer-Verlag New York Heidelberg Berlin
work This All is subject to copyright. rights era whole the whether or reserved,
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© yb gatreV-regnirpS Berlin Heidelberg 2891
Printed ni Germany
Printing dna Offsetdruck, binding: Hemsbach/Bergstr. Beltz
01~345-0413/6412
ACKNOWLEDGEMENTS
The International Conference on Algebraic Geometry held at La R~bida
University was sponsored by:
- The International Mathematical Union
- The Council for Scientific Research of Spain
The Universities Complutense de Madrid, Sevilla and Valladolid
-
The City of Palos de la Frontera.
Our gratitude toward all of them.
Also we are extremely grateful to all those persons who collaborated,
either in the organization, or in the develogment of the Conference, mainly the
Board of Governors of the University of La R~b~da, and the staff of the Depart-
ments of Algebra of the Universities of Sevilla and Valladolid.
The Organizing Commitee
LIST FO PARTICIPANTS
ABELLANAS, Pedro
Facultad de Matem~iticas
Ciudad Universitaria
Madrid-3, SPAIN
ABHYANKAR, S.S.
Division fo Mathematical Sciences
Purdue University
West Lafayette, IN 47907, USA
ANGENIOL, Bernard
,3 Avenue Jean Jaures
91~00, Gometz el Chatel, FRANCE
AROCA, ifsoJ Manuel
Facultad de Ciencias
Prado de al Magdalena
Valladolid, SPAIN
BRIALES, Emilio
Facultad de Matem~ticas
Tarfia s/n
Sevilla-12, SPAIN
BRYLINSKI, Jean Luc
Centre de Mathfimatiques
Ecole Polytechnique
91128, Palaiseau, FRANCE
BUCHWEITZ, Ragnar
UniversitNt Hannover
welfengarten 1
D-3000 Hannover 1 GERMANY
CAMPILLO, Antonio
Facultad de Ciencias
Prado de la Magdalena
Valladolid, SPAIN
CANO, Felipe
Facultad de Ciencias
Prado de al Magdalena
Valladolid, SPAIN
CASAS,E.
Facultad de Matem~ticas
Universidad Central de Barcelona
Barcelona. SPAIN.
CASTELLANOS, Julio
Facultad de Matem~ticas
Ciudad Universitaria
Madrid-3, SPAIN
COSSART,Vincent
Bat 425- Math~matiques
Facult~ des Sciences
91~05 Orsay. FRANCE
FALTINGS, Kay
UniversitNt M{inster
Mathematische sInstitut
Roxelerstrasse, ~6
g4, Munster, YNAMREG
FINAT, Javier
Facultad de Ciencias
Prado de la Magdalena
Valladolid, SPAIN
FUERTES, Concepci6n
Facultad de Matemfiticas
Ciudad Universitaria
Madrid-3, SPAIN
GAETA, Federico
Facultad de Matem~ticas
Ciudad Universitaria
Madrid-3, SPAIN
GALLIGO, Andr6
Departement de Math~matiques
Parc Valrose
06-Nice, FRANCE
GIUSTI, Marc
Centre de Math6matiques
Ecole Polytechnique
91128 Palaiseau, FRANCE
GONZALEZ, Gerardo
Centre de Mathfimatiques
Ecole Polytechnique
91128 Palaiseau, FRANCE
GRANGER, Jean-Michel
Departement de Math~matique
Parc Valrose
0603~ Nice, FRANCE
GREUEL, Gert-Martin
Sonderforschungbereich Theoretische Mathematik
Universit~t Bonn
Beringstrasse
5300 Bonn 1 , YNAMREG
HARTSHORNE, Robin
Department of Mathematics
University of California at Berkeley
Berkeley, CA, 9~720, ASU
HAUSER, H.
Inst. f. Math.
Univ. Innsbruck
A-6020 Innsbruck. AUSTRIA.
HENRY, Jean Pierre
Centre de Math6matiques
Ecole Polytechnique
91128 Palaiseau, FRANCE
1V
HERMANN, Manfred
Mathematischeslnstitut
UniversitNt n15~K
5000 nlStK ,lE GERMANY
HERMIDA, Jos~ Angel
Facultad de Ciencias
Prado de al Magdalena
Valladolid, SPAIN
HERRERA, Javier
Facultad de Matemdticas
Tarfia s/n
Sevilla-12 , SPAIN
HERZOG, Jurgen
Mathematischeslnstitut
UniversitSt Regensburg
Regensburg, GERMANY
HIRONAKA, Heisuke
Department of Mathematics
Harvard University
1, Oxford St.
Cambridge, Ma, 02138, USA
HIRSCHOWITZ, Andr6
Departement de Math~matiques
Parc Valrose
0603g Nice-CEDEX. FRANCE
KHALED, .A
Institut de Mathfimatiques U.S.T.A.
~ B.P. 9 n Dar lE Beida. ALGERIA.
LAMARI, A.
C~t6 Anasser 11
~ B llA n-°9 Kouba. ALGERIA.
LAUDAL, Olav
Matematisk Institutt
Universitelet Oslo.
P.O. XOB 1053 Blindern. Oslo-3. NORWAY
LEJEUNE-JALABERT, Monique
Departement de Math~matiques
Universit~ de Grenoble
BP 611
38~02, Saint Martin, FRANCE
LUENGO, Ignacio
Facultad de Matem~ticas
Ciudad Universitaria
Madrid-3, SPAIN
MARUYAMA, Masaki
Faculty of Science
Kyoto University
Kyoto 606, JAPAN
IIV
MCPHERSON , Robert
I.H.E.S.
Route de Chartres
915~0 Bures Sur Ivette, FRANCE
MERLE, Michel
Centre de Mathfimatiques
Ecole Polytechnique
91128 Palaiseau, FRANCE
ORBANZ, Ulrich
MathematischesInstitut
Universit~t KSln
5000 K~51n 41, GERMANY
PIEDRA, Ram6n
Facultad de Matemdticas
Tarfia s/n
Sevilla-12, SPAIN
SABBAH,C.
Centre de Math~matiques
Ecole Polytechnique
91128 Palaiseau, FRANCE
SANCHEZ, Tom~s
Facultad de Ciencias
Prado de Ia Magdalena
Valladolid, SPAIN
SANCHO JR., Juan Bautista
Facultad de Matemdticas
Universidad de Salamanca
Salamanca, SPAIN
SLODOWY, Peter
Sonderforschungbereich Theoretische Mathematik
Universit~t Bonn
Beringstrasse
5300 Bonn 1 , GERMANY
STEENBRINK, Joseph •
Mathematsch Institut der Rijksuniversiteit Leidel
Wassenaarsweg 80
2333 AL Leiden, NETHERLANDS
TEISSIER, Bernard
Centre de Math@matiques
Ecole Polytechnique
91128 Palaiseau, FRANCE
TROTMAN, David
Boulevard Lavoisier
&9045 Angers, FRANCE
VALEIRAS, Gerardo
Facultad de Matem~ticas
Tarfia s/n
Sevilla-12, SPAIN
IV
VICENTE, Jos@ Luis
Facultad de Matem~ticas
Tarfia s/n
Sevilla-12, SPAIN
VILLANUEVA, Emilio
Facultad de Matem~ticas
Universidad de Santiago
Santiago de Compostela. SPAIN
XAMBO,S.
MatemAticas, Universidad de Barcelona.
Plaza Universidad. Barcelona, SPAIN
CONTENTS
BRYLINSKI, J.L.: Modules holonomes a singularit6s regulleres
et filtration de Hodge .................................... I
CAMPILL0, A & CASTELLANOS, J.: On projections of space alge-
broid curves .............................................. 22
CASAS, E.: Moduli of algebroid plane curves ................................ 32
GALLIGO, A.: Invariants topologiques de germes d'applications
stables et finies ......................................... 84
GIUSTI, M g MERLE, M.: Singularit6s isol6es et sections planes
89
de vari6t6s determinantielles ............................
Premlere partie:Si~gularit6s isol6es et nua-
ges de Newton, par M. Giusti .............................. 89
Deuxieme partie: Sections de vari6t6s deter-
minantielles par les plans de coordonn6es,
par M. Giusti et M. Merle ................................. 103
GORESKI, M & MACPHERSON, R.: On the topology of complex alge-
119
braic maps ................................................
GRANGER, J.M.: Singularit6s des seh6mas de Hilbert ponctuels ............... 130
GREUEL, G.M.: On deformation of curves and a formula of Delig-
me .............. ....... ..... . ............................. 141
HARTSHORN{, R & HIRSCHOWITZ, A.: Droites en position g6n6rale
dans l'espaee projectif .................................. 69
HENRY, J.P.G. & MERLE, M.: Limites d'espaces tangents et trans-
versalit6 de vari6t6s polaires ............................ 189
HERR~IANN,M & ORBANZ, U.: Between equimultlplicity and normal
flatness .................................................. 200
LEJEUNE-JALABERT, M.: Liaison et residu .................................... 233
MARUYAMA, M.: Elementary transformat±ons in the theory of alge-
braic vector bundles ......................................... 241
×
q
PUERTA SALES, F.: Deformations semiuniverselles et germes
d'espaces analytiques C*-equivariantes ................... 267
SANCHO DE SALAS, J.B.: A vanishing theorem for birational
morphisms ................................................ 275
SLODOWY, P.:.Chevalley groups over ~((t)) and deformations
of simply elliptic singularities ......................... 285
STEENBRINK, J.: On the Picard group of certain smooth surfa-
ces in weighted projective spaces ........................ 302
TEISSIER, B.: Vari6t6s polaires II . Multiplicit6s polaires,
sections planes et conditions de Whitney ................. 314
TROTMAN, D.: Regular stratifications and sufficiency of jets ............... 492
