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Capítulo de Libro
On Hasse–Schmidt Derivations: The Action of Substitution Maps
(Springer, 2018-09-19)
We study the action of substitution maps between power series rings as an additional algebraic structure on the groups of Hasse–Schmidt derivations. This structure appears as a counterpart of the module structure on classical ...
Capítulo de Libro
Hasse–Schmidt derivations versus classical derivations
(American Mathematical Society, 2020-01-17)
In this paper we survey the notion and basic results on multivariate Hasse–Schmidt derivations over arbitrary commutative algebras and we associate to such an object a family of classical derivations. We study the behavior ...
Capítulo de Libro
La Geometría Algebraica: punto de encuentro de las Matemáticas
(Real Academia Sevillana de Ciencias, 2005)
Capítulo de Libro
Galois representations and Galois groups over Q
(Springer, 2015)
In this paper we generalize results of P. Le Duff to genus n hyperelliptic curves. More precisely, let C/Q be a hyperelliptic genus n curve, let J(C) be the associated Jacobian variety and let ¯ρℓ : GQ → GSp(J(C)[ℓ]) be ...
Capítulo de Libro
Computer algebra and algebraic analysis
(Universidad de La Rioja, 2010)
Este artículo describe algunas aplicaciones del Álgebra Computacional al Análisis Algebraico, también conocido como teoría de D-módulos, es decir, el estudio algebraico de sistemas lineales de ecuaciones en derivadas ...