Comptes Rendus
Algebraic Geometry
The primitive cohomology lattice of a complete intersection
[La cohomologie primitive d'une intersection complète]
Comptes Rendus. Mathématique, Volume 347 (2009) no. 23-24, pp. 1399-1402.

Nous décrivons le réseau de cohomologie primitive d'une intersection complète lisse de dimension paire dans l'espace projectif.

We describe the primitive cohomology lattice of a smooth even-dimensional complete intersection in projective space.

Reçu le :
Accepté le :
Publié le :
DOI : 10.1016/j.crma.2009.10.013

Arnaud Beauville 1

1 Laboratoire J.-A. Dieudonné, UMR 6621 du CNRS, université de Nice, parc Valrose, 06108 Nice cedex 2, France
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     title = {The primitive cohomology lattice of a complete intersection},
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Arnaud Beauville. The primitive cohomology lattice of a complete intersection. Comptes Rendus. Mathématique, Volume 347 (2009) no. 23-24, pp. 1399-1402. doi : 10.1016/j.crma.2009.10.013. https://comptes-rendus.academie-sciences.fr/mathematique/articles/10.1016/j.crma.2009.10.013/

[1] P. Deligne Cohomologie des intersections complètes. SGA7 II, Exp. XI, Lecture Notes in Math., vol. 340, Springer, Berlin, 1973, pp. 39-61

[2] P. Deligne Le théorème de Noether. SGA7 II, Exp. XIX, Lecture Notes in Math., vol. 340, Springer, Berlin, 1973, pp. 328-340

[3] A. Libgober; J. Wood On the topological structure of even-dimensional complete intersections, Trans. Amer. Math. Soc., Volume 267 (1981) no. 2, pp. 637-660

[4] U. Persson An introduction to the geography of surfaces of general type, Proc. Sympos. Pure Math. I, vol. 46, Algebraic Geometry, Bowdoin, 1985, pp. 195-218

[5] J.-P. Serre Cours d'arithmétique, PUF, Paris, 1977

[6] C.T.C. Wall On the orthogonal groups of unimodular quadratic forms, Math. Ann., Volume 147 (1962), pp. 328-338

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