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pro vyhledávání: '"Achet, Raphaël"'
Autor:
Achet, Raphaël
Soit k un corps quelconque. Dans cette th±se, on étudie le groupe de Picard des k-groupes algébriques unipotents (lisses et connexes).Tout k-groupe algébrique unipotent est extension itérée de formes du groupe additif; on va donc d'abord s'int
Externí odkaz:
http://www.theses.fr/2017GREAM038/document
Autor:
Achet, Raphaël
We obtain an explicit upper bound on the torsion of the Picard group of the forms of the affine line and their regular completions. We also obtain a sufficient condition for the Picard group of the forms of the affine line to be non trivial and we gi
Externí odkaz:
http://arxiv.org/abs/1610.02240
Autor:
Achet, Raphaël
Publikováno v:
In Journal of Pure and Applied Algebra November 2017 221(11):2838-2860
Autor:
Achet, Raphaël
Let k be a field. In this article, we study the Picard group of the smooth connected unipotent k-algebraic groups, and more generally the Picard group of the forms of the affine n-space.To study the Picard group of a form of the affine n-space with g
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=dedup_wf_001::1f5db26576e793ca9094f3921544e023
https://hal.science/hal-02063586v2
https://hal.science/hal-02063586v2
Autor:
Achet, Raphaël
It is well know that any linear smooth connected algebraic group defined over a perfect field is unirational. Over a nonperfect field k, there arenon-unirational linear algebraic groups. In this article, we study the geometry of the unirational k-gro
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=od_______166::e7348c452e0832953f0e57a7a56a855e
https://hal.archives-ouvertes.fr/hal-02358528
https://hal.archives-ouvertes.fr/hal-02358528
Autor:
Achet, Raphaël
Publikováno v:
Géométrie algébrique [math.AG]. Université Grenoble Alpes, 2017. Français. ⟨NNT : 2017GREAM038⟩
Let k be any field. In this Ph.D. dissertation we study the Picard group of the (smooth connected) unipotent k-algebraic groups.As every unipotent algebraic group is an iterated extension of forms of the additive group, we will study the Picard group
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=dedup_wf_001::3beb4cc21e32777fdfc9015d4c015742
https://hal.archives-ouvertes.fr/tel-01616528v2
https://hal.archives-ouvertes.fr/tel-01616528v2
Autor:
Achet, Raphaël
Publikováno v:
Journal of Pure and Applied Algebra
Journal of Pure and Applied Algebra, Elsevier, 2017, 221 (11), pp.2838-2860. ⟨10.1016/j.jpaa.2017.02.003⟩
Journal of Pure and Applied Algebra, Elsevier, 2017, 221 (11), pp.2838-2860. ⟨10.1016/j.jpaa.2017.02.003⟩
International audience; We obtain an explicit upper bound on the torsion of the Picard group of the forms of the affine line and their regular completions. We also obtain a sufficient condition for the Picard group of the forms of the affine line to
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=dedup_wf_001::9fc0b6ed591f89d19193f90b905995e0
https://hal.archives-ouvertes.fr/hal-01377384v2/document
https://hal.archives-ouvertes.fr/hal-01377384v2/document