We describe the primitive cohomology lattice of a smooth even-dimensional complete intersection in projective space.
Nous décrivons le réseau de cohomologie primitive d'une intersection complète lisse de dimension paire dans l'espace projectif.
Accepted:
Published online:
Arnaud Beauville 1
@article{CRMATH_2009__347_23-24_1399_0, author = {Arnaud Beauville}, title = {The primitive cohomology lattice of a complete intersection}, journal = {Comptes Rendus. Math\'ematique}, pages = {1399--1402}, publisher = {Elsevier}, volume = {347}, number = {23-24}, year = {2009}, doi = {10.1016/j.crma.2009.10.013}, language = {en}, }
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] Cohomologie des intersections complètes. SGA7 II, Exp. XI, Lecture Notes in Math., vol. 340, Springer, Berlin, 1973, pp. 39-61
[2] Le théorème de Noether. SGA7 II, Exp. XIX, Lecture Notes in Math., vol. 340, Springer, Berlin, 1973, pp. 328-340
[3] On the topological structure of even-dimensional complete intersections, Trans. Amer. Math. Soc., Volume 267 (1981) no. 2, pp. 637-660
[4] 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] Cours d'arithmétique, PUF, Paris, 1977
[6] On the orthogonal groups of unimodular quadratic forms, Math. Ann., Volume 147 (1962), pp. 328-338
Cited by Sources:
Comments - Policy