Algebraic Geometry Bucharest 1982 Proceedings of the International C

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1056

Algebraic Geometry Bucharest 1982 Proceedings of the International Conference held in Bucharest, Romania, August 2-7, 1982

Edited by L. Badescu and D. Popescu

Springer-Verlag Berlin Heidelberg New York Tokyo 1984

Editors

Lucian Badescu Dorin Popescu The National Institute for Scientific and Technical Creation Bdul Pacii 220, 79622 Bucharest, Romania

AMS Subject Classification (1980): 14-XX

ISBN 3-540-12930-8 Springer-Verlag Berlin Heidelberg New York Tokyo ISBN 0-387-12930-8 Springer-Verlag New York Heidelberg Berlin Tokyo This work is subject to copyright. All rights are reserved, whether the whole or part of the material is concerned, specifically those of translation, reprinting, re-use of illustrations, broadcasting, reproduction by photocopying machine or similar means, and storage in data banks. Under § 54 of the German Copyright Law where copies are made for other than private use, a fee is payable to "Verwertunqsqesellschaft Wort", Munich.

© by Springer-Verlag Berlin Heidelberg 1984 Printed in Germany Printing and binding: Beltz Offsetdruck, HemsbachiBergstr. 2146/3140-543210

FOREWORD The "Week of the Algebraic Geometry" held in Bucharl.st between August 2­7, 1982, was organized by the Department of Mathematics of INCREST Bucharest, with the hospitality of the University of Bucharest. This volume contains a part of the lectures and talks given during the Conference, as well as two other papers (by L.B!descu and A.Constantinescu), which were not presented because of lack of time. We are grateful to all the participants for their contribution to the success of the Conference, and in particular, to the contributors of this volume. we also thank INCREST Bucharest for the generous financial support and Springer­Verlag for accepting to publish these Proceedings. The Editors

PAR TIC I PAN T S

L.BADESCU C"BANICA S.. S.BASARAB M.BECHEANU C.BORCEA A•BREZULEANU V.BRINZANESCU A.BUIUM N.BURUIANA F.CATANESE G.CHIRIACESCU A.CONSTANTINESCU A.DIMCA M.FEUSTEL M.FIORENTINI G.GALBURA G.-M.GREUEL P.IONESCU S.KLEIMAN If.KURKE

A.LASCU N.MANOLACHE E.HALANAY B.MARTIN S.MUKAI G.PFISTER D..POPESCU N.RADU M.ROCZEN P.RUSSELL M.STOIA D.STEFANESCU R.UHSrANU T.ZINIr

(Bucharest) (Bucharest.) (Buchare st ) (Bucharest) (BlXcharest) (BUcharest) (BUchare st) (Bucharest) (Buchare st) (Bucharest) (pisa) (Bucharest) (Bucharest) (Bucharest) (l3'erlin) (Ferrara) (Bucharest) (I\aiserslautern) (BUcharest) (M.I.T.) (Berlin) (BUcharest) (Buchare st) (Berlin) (Wagoya) (Berlin) (Bucharest) (Bucharest) (Berlin) (Bucharest) (Buchare st) (B\Jlcharest) (Berlin)

CON TEN T S

1.

Badescu, L.

2.

Brinzanescu, V. and M.Stoia

- Topologically trivial algebraic 2-vector bundles on ruled surfaces. II

3.

Buium, A.

- On surfaces of degree at most 2n+l in pn

47

4.

Catanese, F.

- Commutative algebra methods and equations of regular surfaces

68

5. 6.

7. 8. 9.

Constantinescu, A. Fiorentini, M. and Lascu, A.

Hyperplane sections and deformations

- On the algebraization of some complex schemes

"

34

. . . _." . . . • . 112

- Two theor