Algebraic Geometry: Proceedings of the International Conference on Algebraic Geometry Held at La Rábida, Spain, January 7–15, 1981 PDF
Preview Algebraic Geometry: Proceedings of the International Conference on Algebraic Geometry Held at La Rábida, Spain, January 7–15, 1981
Lecture Notes ni Mathematics Edited yb .A Dold dna .B nnamkcE 169 ciarbeglA yrtemoeG 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 galreV-regnirpS Rp.rlin I-I~_irl~_lh~rn IXl~w Ynrl¢ 1.QR9 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, specifically is concerned, of the material part those reprinting, of translation, reproduction of broadcasting, illustrations, re-use yb or photocopying machine means, similar dna storage ni data § Under 54 banks. Copyright of the German waL where copies era to fee is a payable use, than for private other made Wort", "Verwertungsgesellschaft .hcinuM © 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
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