Geodesic
On Projective Varieties with Projectively Equivalent Zero-Dimensional Linear Sections
Canadian mathematical bulletin, Tome 35 (1992) no. 1, pp. 3-13

Voir la notice de l'article provenant de la source Cambridge University Press

Here we give a partial classification of varieties X ⊂ Pn such that any two general zero-dimensional linear sections are projectively equivalent. They exist (with deg(X) > codim(X) + 2) only in positive characteristic.
DOI : 10.4153/CMB-1992-001-8
Mots-clés : 14N05, 14H99. 
Ballico, E. On Projective Varieties with Projectively Equivalent Zero-Dimensional Linear Sections. Canadian mathematical bulletin, Tome 35 (1992) no. 1, pp. 3-13. doi: 10.4153/CMB-1992-001-8
@article{10_4153_CMB_1992_001_8,
     author = {Ballico, E.},
     title = {On {Projective} {Varieties} with {Projectively} {Equivalent} {Zero-Dimensional} {Linear} {Sections}},
     journal = {Canadian mathematical bulletin},
     pages = {3--13},
     year = {1992},
     volume = {35},
     number = {1},
     doi = {10.4153/CMB-1992-001-8},
     url = {http://geodesic.mathdoc.fr/articles/10.4153/CMB-1992-001-8/}
}
TY  - JOUR
AU  - Ballico, E.
TI  - On Projective Varieties with Projectively Equivalent Zero-Dimensional Linear Sections
JO  - Canadian mathematical bulletin
PY  - 1992
SP  - 3
EP  - 13
VL  - 35
IS  - 1
UR  - http://geodesic.mathdoc.fr/articles/10.4153/CMB-1992-001-8/
DO  - 10.4153/CMB-1992-001-8
ID  - 10_4153_CMB_1992_001_8
ER  - 
%0 Journal Article
%A Ballico, E.
%T On Projective Varieties with Projectively Equivalent Zero-Dimensional Linear Sections
%J Canadian mathematical bulletin
%D 1992
%P 3-13
%V 35
%N 1
%U http://geodesic.mathdoc.fr/articles/10.4153/CMB-1992-001-8/
%R 10.4153/CMB-1992-001-8
%F 10_4153_CMB_1992_001_8

[1] 1. Andreatta, M. and Ballico, E., On the adjunction process over a surface in char, p, Manuscripta Math. 62(1988),227–244. Google Scholar

[2] 2. Andreatta, M. and Ballico, E., Classification of projective surfaces with small section genus: char, p ≥ 0, Rend. Sem. Mat. Univ. Padova, 84(1990),175–193. Google Scholar

[3] 3. Ballico, E., On singular curves in the case of positive characteristic, Math. Nachr. 141(1989),267–273. Google Scholar

[4] 4. Ballico, E., On the general hyperplane section of a curve in char, p, preprint. Google Scholar

[5] 5. Ballico, E. and Hefez, A., Non reflexive projective curves of low degree, Manuscripta Math. 70(1991),385–396. Google Scholar

[6] 6. Bayer, V. and Hefez, A., Strange curves, Comm. in Algebra (to appear). Google Scholar

[7] 7. Beauville, A., Sur les hypersurfaces dont les sections hyperplanes sont à module constant, in: The Grothendieck Festschrift, pp. 121-133, Birkhauser (1990). Google Scholar

[8] 8. Dale, M., Seven's theorem on the Veronese-surface, J. London Math. Soc. (2) 32(1985),419–425. Google Scholar

[9] 9. Ein, L., Varieties with small dual varieties I, Invent, math. 86(1986),63–74. Google Scholar

[10] 10. Ein, L., Varieties with small dual varieties II, Duke Math. J. 52(1985),895–907. Google Scholar

[11] 11. Hartshorne, R., Algebraic Geometry, Springer-Verlag, New York, Heidelberg, Berlin, 1977. Google Scholar

[12] 12. Homma, M., Funny plane curves in characteristic p > O, Comm. Algebra 15(1987),1469–1501. +O,+Comm.+Algebra+15(1987),1469–1501.>Google Scholar

[13] 13. Jouanolou, J. P., Theorems de Bertini et Applications, Progr. in Math. 42 Birkauser (1983). Google Scholar

[14] 14. Kaji, H., On the Gauss map of space curves in characteristic p, Compositio Math. 70(1989),177–197. Google Scholar

[15] 15. Kaji, H., Characterization of space curves with inseparable Gauss maps in extremal cases, preprint. Google Scholar

[16] 16. Katz, N., Pinceaux de Lefschetz: théorème de existence, in: SGA 7 II, Exposé XVII, Lect. Notes in Math. 340, Springer-Verlag, New York, Heidelberg, Berlin, 1973. Google Scholar

[17] 17. Kleiman, S., Tangency and duality, in: Proc. 1984 Vancouver Converence in Algebraic Geometry, pp. 163— 226, CMS-AMS Conference Proceedings, 6(1985). Google Scholar

[18] 18. Kleiman, S., Multiple tangents of smooth plane curves (after Kaji), preprint MIT, 1989. Google Scholar

[19] 19. Laksov, D., Indecomposability of restricted tangent bundles, in: Tableaux de Young et foncteurs de Schur en algèbre et géométrie, Astérisque 87-88(1981),207–219. Google Scholar

[20] 20. Rathmann, J., The uniform position principle for curves in characteristic p, Math. Ann. 276(1987),565–579. Google Scholar

[21] 21. Wallace, A., Tangency and duality over arbitrary fields, Proc. London Math. Soc. (3) 6(1956),321–342. Google Scholar

[22] 22. Zak, F. L., Projections of algebraic varieties, Math. USSR Sbornik 44(1983),535–544. Google Scholar

Cité par Sources :