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Mostrando ítems 1-10 de 19
Artículo
Key polynomials for simple extensions of valued fields
(Worldwide Center of Mathematics, 2022-05-28)
In this paper we present a refined version of MacLane's theory of key polynomials, similar to those considered by M. Vaqui\'e and reminiscent of approximate roots of Abhyankar and Moh. Given a simple transcendental extension ...
Artículo
Artículo
Gevrey and formal Nilsson solutions of A-hypergeometric systems
(Elsevier, 2020-02-10)
We prove that the space of Gevrey solutions of an A–hypergeometric system along a coordinate subspace is contained in a space of formal Nilsson solutions. Moreover, under some additional condition, both spaces are equal. ...
Artículo
Commensurability in Artin groups of spherical type
(EMS Press, 2021-06-29)
We give an almost complete classification of Artin groups of spherical type up to commensurability. Let A and A0 be two Artin groups of spherical type, and let A1; : : : ; Ap (respectively, A0 1; : : : ; A0 q) be the ...
Artículo
The conjugacy stability problem for parabolic subgroups in artin groups
(Springer, 2022-09-14)
Given an Artin group A and a parabolic subgroup P, we study if every two elements of P that are conjugate in A, are also conjugate in P. We provide an algorithm to solve this decision problem if A satisfies three properties ...
Artículo
On the rank of an A-hypergeometric D-module versus the normalized volume of A
(Wiley, 2022-03-06)
The rank of an A-hypergeometric D-module MA(β), associated with a full rank (d×n)-matrix A and a vector of parameters β∈Cd, is known to be the normalized volume of A, denoted vol(A), when β lies outside the exceptional ...
Artículo
On the bracket of integrable derivations
(Elsevier, 2021-05-15)
We prove that any multi-variate Hasse–Schmidt derivation can be decomposed in terms of substitution maps and uni-variate Hasse–Schmidt derivations. As a consequence we prove that the bracket of two m-integrable derivations ...
Artículo
Parabolic subgroups acting on the additional length graph
(Geometric & Topology Publications, 2021-08-18)
Let A ≠ A 1 , A 2 , I 2 m be an irreducible Artin–Tits group of spherical type. We show that the periodic elements of A and the elements preserving some parabolic subgroup of A act elliptically on the ...
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 ...
Artículo
Almost-extreme Khovanov spectra
(Springer, 2021)
We introduce a functor from the cube to the Burnside 2-category and prove that it is equivalent to the Khovanov spectrum given by Lipshitz and Sarkar in the almost extreme quantum grading. We provide a decomposition of ...