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Searching for simultaneous arithmetic progressions on elliptic curves
(Australian Mathematical Society, 2005-06)
We look for elliptic curves featuring rational points whose coordinates form two arithmetic progressions, one for each coordinate. A constructive method for creating such curves is shown, for lengths up to 5.
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How to calculate the slopes of a D-module
(Foundation Compositio Mathematica, 1996)
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Conjugacy stability of parabolic subgroups of Artin-Tits groups of spherical type
(Elsevier, 2020-08-15)
We give a complete classification of conjugacy stable parabolic subgroups of Artin-Tits groups of spherical type. This answers a question posed by Ivan Marin and generalizes a theorem obtained by Juan González-Meneses in ...
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Monomial discrete valuations in k[[X]]
(Cornell University, 2003-07-17)
Let v be a rank m discrete valuation of k[[X1,...,Xn]] with dimension n-m. We prove that there exists an inmediate extension L of K where the valuation is monomial. Therefore we compute explicitly the residue field of the ...
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On the logarithmic comparison theorem for integrable logarithmic connections
(London Mathematical Society, 2009)
Let X be a complex analytic manifold, D ⊂ X a free divisor with jacobian ideal of linear type (e.g. a locally quasi-homogeneous free divisor), j : U = X − D ֒→ X the corresponding open inclusion, E an integrable logarithmic ...
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Cylinders for non-symmetric DG-operads via homological perturbation theory
(Elsevier, 2016-09)
We construct small cylinders for cellular non-symmetric DG-operads over an arbitrary commutative ring by using the basic perturbation lemma from homological algebra. We show that our construction, applied to the A-infinity ...
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Primer Encuentro Conjunto RSME-UMA, Buenos Aires, 11 a 15 de diciembre de 2017
(Real Sociedad Matemática Española, 2018)
En la semana del lunes 11 al viernes 15 de diciembre de 2017 se llevó a cabo en Buenos Aires el Primer Encuentro Conjunto entre la Unión Matemática Argentina (UMA) y la RSME. Se celebraba el centenario de la primera ...
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Limits of sequences of Pseudo-Anosov maps and of hyperbolic 3–manifolds
(MSP, 2021-08-11)
There are two objects naturally associated with a braid β∈Bn of pseudo-Anosov type: a (relative) pseudo-Anosov homeomorphism φβ:S2→S2; and the finite-volume complete hyperbolic structure on the 3–manifold Mβ obtained by ...
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Rectangular symmetries for coefficients of symmetric functions
(American Mathematical Society, 2015)
We show that some of the main structural constants for symmetric functions (Littlewood-Richardson coefficients, Kronecker coefficients, plethysm coefficients, and the Kostka–Foulkes polynomials) share symmetries related ...
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Unramified ℓ-modular representations of GLn(F) and its inner forms
(Oxford University Press, 2014)
Let F be a non-Archimedean locally compact field of residue characteristic p and R be an algebraically closed field of characteristic l different from p. Let G be the group GLn, n ¥ 1, over F or one of its inner forms. In ...