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

Matrix-based representations in elimination theory with applications to geometry

Autor: Busé, Laurent

Publikováno v: Mathématiques [math]. Université Nice Sophia Antipolis, 2011

In this habilitation thesis, a matrix-based approach of elimination theory is described and illustrated through applications in algebraic modeling. This matrix-based approach allows to build a bridge between geometry and numerical linear algebra, so

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https://tel.archives-ouvertes.fr/tel-00593603/document

Étude du résultant sur une variété algébrique

Autor: Busé, Laurent

Publikováno v: Mathématiques [math]. Université Nice Sophia Antipolis, 2001. Français. ⟨NNT : ⟩

In this thesis a theoric and practical study of residual resultant is proposed. This residual resultant provides a necessary and sufficient condition so that an algebraic system has solutions on a residual variety obtained by blowing-up. Effective me

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https://theses.hal.science/tel-00096815