Quelques calculs d’espaces R ⁱf * G sur des courbes

Autor: MAUGEAIS, Sylvain

Publikováno v: Journal de Théorie des Nombres de Bordeaux, 2016 Jan 01. 28(2), 361-390.

Externí odkaz: https://www.jstor.org/stable/26274037

Morphismes de périodes et cohomologie syntomique

Autor: Gilles, Sally

Publikováno v: Théorie des nombres [math.NT]. Université de Lyon, 2020. Français. ⟨NNT : 2020LYSEN049⟩

Recently, Colmez and Nizioł proved a comparison theorem between arithmetic p-adic nearby cycles and syntomic cohomology sheaves. To prove it, they gave a local construction using (\phi,\Gamma)-modules which allows to reduce the period isomorphism to

Externí odkaz: https://explore.openaire.eu/search/publication?articleId=dedup_wf_001::ccd766b1818fa25833a34935c98e36f7
https://theses.hal.science/tel-02965753

Invariants cohomologiques des groupes algébriques linéaires

Autor: Lourdeaux, Alexandre

Our article deals with the cohomological invariants of smooth and connected linear algebraic groups over an arbitrary field. More precisely, we study degree 2 invariants with coefficients Q/Z(1), that is invariants taking values in the Brauer group.

Externí odkaz: https://explore.openaire.eu/search/publication?articleId=od______2592::463ec789ef80280ed390f0e4353f82f8
https://hal.archives-ouvertes.fr/hal-02440601/document

On cohomological invariants of linear algebraic groups

Autor: Lourdeaux, Alexandre

Publikováno v: Théorie des groupes [math.GR]. Université de Lyon, 2020. Français. ⟨NNT : 2020LYSE1044⟩

Our thesis deals with the cohomological invariants of smooth and connected linear algebraic groups over an arbitrary field. More precisely, we study degree 2 invariants with coefficients Q/Z(1), that is invariants taking values in the Brauer group. O

Externí odkaz: https://explore.openaire.eu/search/publication?articleId=dedup_wf_001::ed1571bf98bf9245918acac489fdb486
https://theses.hal.science/tel-02890182

Calculabilité de la cohomologie étale modulo $\ell$

Autor: David Madore, Fabrice Orgogozo

Publikováno v: Algebra & Number Theory
Algebra & Number Theory, Mathematical Sciences Publishers 2015, 9 (7), pp.1647-1739. ⟨10.2140/ant.2015.9.1647⟩
Algebra & Number Theory, Mathematical Sciences Publishers 2015, 9 (7), pp.1647-1739
Algebra Number Theory 9, no. 7 (2015), 1647-1739

Let $X$ be an algebraic scheme over an algebraically closed field and $\ell$ a prime number invertible on $X$. According to classical results (due essentially to A. Grothendieck, M. Artin and P. Deligne), the \'etale cohomology groups $\mathrm{H}^i(X

Externí odkaz: https://explore.openaire.eu/search/publication?articleId=doi_dedup___::c2d1d9f24c5710a4b5d51df8f2adce59
https://hal.telecom-paris.fr/hal-02287872