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Mostrando ítems 1-10 de 22
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. ...
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Partial symmetries of iterated plethysms
(Springer, 2023-05-03)
This work highlights the existence of partial symmetries in large families of iterated plethystic coefficients. The plethystic coefficients involved come from the expansion in the Schur basis of iterated plethysms of Schur ...
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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
An Effective Criterion for Finite Monodromy of ℓ-Adic Sheaves
(Springer, 2023-02-01)
We provide an effective version of Katz’ criterion for finiteness of the monodromy group of a lisse, pure of weight zero, -adic sheaf on a normal variety over a finite field, depending on the numerical complexity of the sheaf.
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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 ...
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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 ...