Soit la variété de Segre. Soit S l'espace des courbes cubiques rationnelles de tridegré dans X. Dans cet article, nous prouvons que S est une variété rationnelle, lisse, de dimension 6. Nous calculons également le polynôme de Poincaré de S à l'aide d'une stratification dont les strates sont des fibrés projectifs.
Let be the Segre variety. Let S be the space of twisted cubic curves in X with tri-degree . In this note, we prove that S is a rational, smooth variety of dimension 6. Also, we compute the Poincaré polynomial of S by stratifying the space into projective space fibration over some base spaces.
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Kiryong Chung 1 ; Wanseok Lee 2
@article{CRMATH_2015__353_12_1123_0, author = {Kiryong Chung and Wanseok Lee}, title = {Twisted cubic curves in the {Segre} variety}, journal = {Comptes Rendus. Math\'ematique}, pages = {1123--1127}, publisher = {Elsevier}, volume = {353}, number = {12}, year = {2015}, doi = {10.1016/j.crma.2015.09.008}, language = {en}, }
Kiryong Chung; Wanseok Lee. Twisted cubic curves in the Segre variety. Comptes Rendus. Mathématique, Volume 353 (2015) no. 12, pp. 1123-1127. doi : 10.1016/j.crma.2015.09.008. https://comptes-rendus.academie-sciences.fr/mathematique/articles/10.1016/j.crma.2015.09.008/
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