Enumerative Geometry and Classical Algebraic Geometry
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Birkhauser Boston· Basel· Stuttgart
Enumerative Geometry and Classical Algebraic Geometry Patrick Le Barz, Yves Hervier, editors
1982
Birkhiiuser Boston. Basel • Stuttgart
Patrick Le Barz Universite de Nice Departement de Mathematiques Parc Valrose F-06034 Nice, France Yves Hervier Un±versite de Nice Deparement de Mathematiques Parc Valrose F-06034 Nice, France Library of Congress Cataloging in Publication Data Main entry under title: Enumerative geometry and classical algebraic geometry. (Progress in mathematics ; v. 24) 1. Geometry, Algebraic--Addresses, essays, lectures. 2. Fields, Algebraic-Addresses, essays, lectures. 3. Algebraic varieties--Addresses, essays, lectures. I. Le Barz, Patick, 1948II. Hervier, Y. III. Series: Progress in mathematics (Cambridge, Mass.) v. 24. QA564.E58 1982 516.3'5 82-17748 lSBN-13: 978-0-8176-3106-2 e-lSBN-13: 978-1-4684-6726-0 DOl: 10.1007/978-1-4684-6726-0
CIP - Kurztitelaufnahme der Deutschen Bibliothek LeBarz, Patrick: Enumerative geometry and classical algebraic geometry I Patrick Le Barz and Yves Hervier. Boston; Basel; Stuttgart : Birkh~user, 1982. (Progress in Mathematics; Vol. 24) lSBN-13: 978-0-8176-3106-2 NE: Hervier, Yves:;
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All rights reserved. No part of this publication may be reproduced, stored in a retrieval system, or transmitted, in any form or by any means, electronic, mechanical, photocopying, recording or otherwise, without prior permission of the copyright owner. ©Birkh~user Boston, Inc., 1982 Softcover reprint of the hardcover 1st edition 1982
lSBN-13: 978~0-8176-3i06-2
Autres Communications
p.
vi
Preface
p.
vii
Liste des Participants
p.
viii
L. GRUSON & C. PESKINE
variet~s
Courbes de l'espace projectif: de secantes
p.
1
L. GRUSON & C. PESKlNE
Section plane d'une courbe gauche: postulation
p.
33
R. PlENE
Degenerations of complete twisted cubics
p.
37
F. CATANESE
Pluricanonical-Gorenstein-curves
p.
51
W. FULTON & R. LAZARSFELD
Positivity and excess intersection
p.
97
D. LAKSOV
Notes on the evolution of complete correlations
p.
107
Diviseurs speciaux et intersection de cycles dans la Jacobienne d'une courbe algebrique
p.
133
A. HIRSCHOWITZ & M.S. NARASIMHAN
Fibres de 't Hooft speciaux et applications
p.
143
P. LE BARZ
Formules mUlti-secantes pour les courbes gauche quelconques
p.
165
Schubert calculus for complete quadrics
p.
199
Multiple point formulas for maps
p.
237
A. BEAUVILLE
1. VAINSENCHER
S.L. KLEIMAN
AUTRES COMMUNICATIONS FAITES AU COURS DU COLLOQUE E. BALLICO
Postulation formulae for generic elliptic curves.
M. FIORENTINI
Trois theoremes sur les courbes de ~3
F. GAETA
Formes de Cayley-Chow de l'intersection de deux varietes algebriques.
K. HULEK
The normal bundle of a space curve on a quadric.
H. LANGE
Vector bundles on curves and secant planes.
R. LAZARSFELD
varieties with degenerate secant varieties.
G. MARTENS
On the Clifford-index of a curve.
U. PERSSON
Surfaces with maximal Picard numbers.
G. SACCHIERO
Les varietes parametrisant les courbes rationnelles de ~3,
