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On the Dual of Projective Varieties

Published online by Cambridge University Press:  20 November 2018

E. Ballico
E. Ballico*
Affiliation:
Department of Mathematics, University of Trento, 38050 Povo (TN), Italy e-mail: ballico@itncisca (bitnet) itnvax:iballico (decnet) fax: Italy + 461881624
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Abstract

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Here we give examples and classifications of varieties with strange behaviour for the enumeration of contacts (answering a question raised by Fulton, Kleiman, MacPherson). Then we give upper and lower bounds (in terms of the degree) for the non-zero ranks of a projective variety.

Keywords

14N0514N10
Type
Research Article
Information
Canadian Mathematical Bulletin , Volume 34 , Issue 4 , 01 December 1991 , pp. 433 - 439
Copyright
Copyright © Canadian Mathematical Society 1991

References

1. Ballico, E., On the dual variety in characteristic 2, Compositio Math. 75 (1990), 129–134.Google Scholar
2. Fulton, W., Kleiman, S. and MacPherson, R., About the enumeration of contacts, in: Algebraic Geometry— Open Problems, Springer Lecture Notes in Math. 997, 156–196.Google Scholar
3. Hefez, A. and Kleiman, S., Notes on the duality of projective varieties, in: Geometry Today, Progress in Math. 60, Birkhauser, Boston, 1985,143–183.Google Scholar
4. Katz, N., Pinceaux de Lefschetz: théorème d'existence, SGA 7 II, Exposé XVII, Springer Lecture Notes in Math. 340, 1973,212–253.Google Scholar
5. Kleiman, S., About the conormal scheme, in: Complete intersections, Springer Lecture Notes in Math. 1092, 161–197.Google Scholar
6. Kleiman, S., Tangency and duality, in: Proc. 1984 Vancouver Conference in Algebraic Geometry, CMS-AMS Conference Proceedings, 6, 1985, 163–226.Google Scholar
7. Holme, A., The geometric and numerical properties of duality in projective algebraic geometry, Manuscripta Math. 61 (1988), 145–162.Google Scholar