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Artículo
Comparison of theoretical complexities of two methods for computing annihilating ideals of polynomials
(2005)
Let f1, . . . , fp be polynomials in C[x1, . . . , xn] and let D = Dn be the n-th Weyl algebra. We provide upper bounds for the complexity of computing the annihilating ideal of f s = f s1 1 · · · f sp p in D[s] = D[s1, . ...
Artículo
L1-spaces of vector measures defined on δ-rings
(Springer, 2005)
Given a vector measure ν defined on a δ-ring with values in a Banach space, we study the relation between the analytic properties of the measure ν and the lattice properties of the space L1(ν) of real functions which are ...
Artículo
On the structure of the centralizer of a braid
(Elsevier, 2004)
The mixed braid groups are the subgroups of Artin braid groups whose elements preserve a given partition of the base points. We prove that the centralizer of any braid can be expressed in terms of semidirect and ...
Artículo
On the singular braid monoid of an orientable surface
(American Mathematical Society, 2004)
In this paper we show that the singular braid monoid of an orientable surface can be embedded in a group. The proof is purely topological, making no use of the monoid presentation.
Artículo
Optimal domains for kernel operators on [0,∞)×[0,∞)
(Institute of mathematics, Polish Academy of Sciences, 2006)
Let T be a kernel operator with values in a rearrangement invariant Banach function space X on [0,∞) and defined over simple functions on [0,∞) of bounded support. We identify the optimal domain for T (still with values ...
Artículo
Scutoids are a geometrical solution to three-dimensional packing of epithelia
(Nature Publishing Group, 2018)
As animals develop, tissue bending contributes to shape the organs into complex three-dimensional structures. However, the architecture and packing of curved epithelia remains largely unknown. Here we show by means of ...
Artículo
The nth root of a braid is unique up to conjugacy
(Mathematical Sciences Publishers, 2003-11-01)
We prove a conjecture due to Makanin: if α and β are elements of the Artin braid group Bn such that α k = β k for some nonzero integer k, then α and β are conjugate. The proof involves the Nielsen-Thurston classification ...