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      The computation of the logarithmic cohomology for plane curves 

      Castro Jiménez, Francisco Jesús; Takayama, Nobuki (Elsevier, 2009-12-01)
      We will give algorithms of computing bases of logarithmic cohomology groups for square-free polynomials in two variables.
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      The conjugacy stability problem for parabolic subgroups in artin groups 

      Cumplido Cabello, María (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 ...
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      The conservation relation for cuspidal representations 

      Mínguez Espallargas, Alberto (Springer, 2012-01)
      Let π ∈ Cusp (U(Vn)) be a smooth cuspidal irreducible representation of a unitary group U(Vn) of dimension n over a ...
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      The cyclic sliding operation in Garside groups 

      Gebhardt, Volker; González-Meneses López, Juan (Springer, 2010-05)
      We present a new operation to be performed on elements in a Garside group, called cyclic sliding, which is introduced to ...
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      The defining ideals of conjugacy classes of nilpotent matrices and a conjecture of Weyman 

      Biagioli, Riccardo; Faridi, Sara; Rosas Celis, Mercedes Helena (Oxford University Press, 2008)
      Tanisaki introduced generating sets for the defining ideals of the schematic intersections of the closure of conjugacy ...
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      The Gröbner fan of an An-module 

      Assi, Abdallah; Castro Jiménez, Francisco Jesús; Granger, Michel (Elsevier, 2000-06-14)
      Let I be a non-zero left ideal of the Weyl algebra An of order n over a field k and let L:R2n→R be a linear form defined ...
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      The Kronecker product of Schur functions indexed by two-row shapes or hook shapes 

      Rosas Celis, Mercedes Helena (Springer, 2001-09)
      The Kronecker product of two Schur functions sµ and sν, denoted by sµ ∗ sν, is the Frobenius characteristic of the tensor ...
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      The local duality theorem in D-module theory 

      Narváez Macarro, Luis (Société Mathématique de France, 2004)
      These notes are devoted to the Local Duality Theorem for D-modules, which asserts that the topological Grothendieck-Verdier ...
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      The module Dfs for locally quasi-homogeneous free divisors 

      Calderón Moreno, Francisco Javier; Narváez Macarro, Luis (Springer, 2002-10)
      We find explicit free resolutions for the D-modules Dfs and D[s]fs/D[s]f s+1, where f is a reduced equation of a locally ...
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      The Newton Procedure for several variables 

      Soto Prieto, Manuel Jesús; Vicente Córdoba, José Luis (Elsevier, 2011-07-15)
      Let us consider an equation of the form P(x, z) = zm + w1(x)zm−1 + · · · + wm−1(x)z + wm(x) = 0, where m>1, n>1, x=(x1⋯xn) ...
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      The nth root of a braid is unique up to conjugacy 

      González-Meneses López, Juan (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 of braids.
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      The regularity of a toric variety 

      Briales Morales, Emilio; Pisón Casares, Pilar (Elsevier, 2001-03-01)
      We give a method for computing the degrees of the minimal syzygies of a toric variety by means of combinatorial techniques. ...
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      The root extraction problem for generic braids 

      Cumplido Cabello, María; González-Meneses López, Juan; Silvero Casanova, Marithania (MDPI, 2019-10)
      We show that, generically, finding the k-th root of a braid is very fast. More precisely, we provide an algorithm which, ...
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      The stability of the Kronecker products of Schur functions 

      Briand, Emmanuel; Orellana, Rosa C.; Rosas Celis, Mercedes Helena (Elsevier, 2011-04-01)
      In the late 1930’s Murnaghan discovered the existence of a stabilization phenomenon for the Kronecker product of Schur ...
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      The symmetric action on secondary homotopy groups 

      Baues, Hans Joachim; Muro Jiménez, Fernando (The Belgian Mathematical Society, 2008-11)
      We show that the symmetric track groups Sym(n), which are extensions of the symmetric groups Sym(n) associated to the second Stiefel-Whitney class, act as crossed modules on the secondary homotopy groups of a pointed space.
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      Thue equations and torsion groups of elliptic curves 

      García Selfa, Irene; Tornero Sánchez, José María (Elsevier, 2009-02)
      A new characterization of rational torsion subgroups of elliptic curves is found, for points of order greater than 4, through the existence of solution for systems of Thue equations.
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      Toda brackets and cup-one squares for ring spectra 

      Baues, Hans Joachim; Muro Jiménez, Fernando (Taylor & Francis, 2009)
      In this paper we prove the laws of Toda brackets on the homotopy groups of a connective ring spectrum and the laws of the cup-one square in the homotopy groups of a commutative connective ring spectrum.
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      Torsion homology and cellular approximation 

      Flores Díaz, Ramón Jesús; Muro Jiménez, Fernando (Mathematical Sciences Publishers, 2019-02-06)
      We describe the role of the Schur multiplier in the structure of the p-torsion of discrete groups. More concretely, we ...
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      Torsion of rational elliptic curves over cubic fields 

      González Jiménez, Enrique; Najman, Filip; Tornero Sánchez, José María (Rocky Mountain Mathematics Consortium, 2016)
      Let E be an elliptic curve defined over Q. We study the relationship between the torsion subgroup E(Q)tors and the torsion ...
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      Torsion of rational elliptic curves over quadratic fields 

      González Jiménez, Enrique; Tornero Sánchez, José María (Springer, 2014-09)
      Let E be an elliptic curve defined over Q. We study the relationship between the torsion subgroup E(Q)tors and the torsion subgroup E(K)tors, where K is a quadratic number field.