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16 papers · 1 filter
Duality and monodromy reducibility of -hypergeometric systems
Uli Walther
We study -hypergeometric systems in the sense of Gelfand, Kapranov and Zelevinsky under two aspects: the structure of their holonomically dual system, and reducibility…
Normalization of Ideals and Briancon-Skoda Numbers
Claudia Polini, Bernd Ulrich, Wolmer V. Vasconcelos
We establish bounds for the coefficient of the Hilbert function of the integral closure filtration of equimultiple ideals. These values are shown to help control all…
Gravity-induced birefringence within the framework of Poincare gauge theory
Oliver Preuss, Sami K. Solanki, M. P. Haugan +1
Gauge theories of gravity provide an elegant and promising extension of general relativity. In this paper we show that the Poincaré gauge theory exhibits gravity-induced birefringe…
Asymmetric exchange between electron spins in coupled semiconductor quantum dots
Ş. C. Bădescu, Y. Lyanda-Geller, T. L. Reinecke
We obtain a microscopic description of the interaction between electron spins in bulk semiconductors and in pairs of semiconductor quantum dots. Treating the k.p band mixing and th…
Generic fiber rings of mixed power series/polynomial rings
William Heinzer, Christel Rotthaus, Sylvia Wiegand
Let K be a field, m and n positive integers, and X = {x_1,...,x_n}, and Y = {y_1,..., y_m} sets of independent variables over K. Let A be the polynomial ring K[X] localized at (X).…
A Superlens Based on Metal-Dielectric Composites
Wenshan Cai, Dentcho A. Genov, Vladimir M. Shalaev
Pure noble metals are typically considered to be the materials of choice for a near-field superlens that allows subwavelength resolution by recovering both propagating and evanesce…