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Compatible systems of symplectic Galois representations and the inverse Galois problem I. Images of projective representations
(American Mathematical Society, 2017-02)
This article is the first part of a series of three articles about compatible systems of symplectic Galois representations and applications to the inverse Galois problem. In this first part, we determine the smallest field ...
Artículo
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Explicit calculations in rings of differential operators
(Société Mathématique de France, 2004)
We use the notion of a standard basis to study algebras of linear differential operators and finite type modules over these algebras. We consider the polynomial and the holomorphic cases as well as the formal case. Our ...
Artículo
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Maltsiniotis's first conjecture for K1
(Duke University Press, 2008)
We show that K1(E) of an exact category E agrees with K1(DE) of the associated triangulated derivator DE. More generally we show that K1(W) of a Waldhausen category W with cylinders and a saturated class of weak equivalences ...
Artículo
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El Año Mundial de las Matemáticas en Andalucía
(Federación Española de Profesores de Matemáticas, 2001-06)
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Transfinite Adams representability
(Elsevier, 2016-04-09)
We consider the following problems in a well generated triangulated category T . Let α be a regular cardinal and T α ⊂ T the full subcategory of α-compact objects. Is every functor H : (T α) op → Ab that preserves products ...
Artículo
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Vassiliev invariants for braids on surfaces
(American Mathematical Society, 2004)
We show that Vassiliev invariants separate braids on a closed oriented surface, and we exhibit an universal Vassiliev invariant for these braids in terms of chord diagrams labeled by elements of the fundamental group of ...
Capítulo de Libro
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Two Mayer-Vietoris Spectral Sequences for D-modules
(American Mathematical Society, 2015-03-18)
We provide two Mayer-Vietoris-like spectral sequences related to the localization over the complement of a closed subvariety of an algebraic variety by using techniques from $\mathcal{D}$-modules and homological algebra. ...
Artículo
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Cohomologie évanescente p-adique: calculs locaux
(Università di Padova, 2000)
Artículo
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On the Sn-module structure of the noncommutative harmonics
(Elsevier, 2008-08)
Using the a noncommutative version of Chevalley’s theorem due to Bergeron, Reutenauer, Rosas, and Zabrocki we compute the graded Frobenius series for their two sets of noncommutative harmonics with respect to the left ...
Artículo
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Milne's volume function and vector symmetric polynomials
(Elsevier, 2009-05)
The number of real roots of a system of polynomial equations fitting inside a given box can be counted using a vector symmetric polynomial introduced by P. Milne, the volume function. We provide the expansion of Milne’s ...