Alexander Avram

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We present two methods for studying fibrations of Calabi-Yau manifolds embedded in toric varieties described by single weight systems. We analyse 184,026 such spaces and identify among them 124,701 which are K3 fibrations. As some of the weights give rise to two or three distinct types of fibrations, the total number we find is 167,406. With our methods one(More)
Recent results on duality between string theories and connectedness of their moduli spaces seem to go a long way toward establishing the uniqueness of an underlying theory. For the large class of Calabi–Yau 3-folds that can be embedded as hypersurfaces in toric varieties the proof of mathematical connectedness via singular limits is greatly simplified by(More)
The periods of the three–form on a Calabi–Yau manifold are found as solutions of the Picard–Fuchs equations; however, the toric varietal method leads to a generalized hy-pergeometric system of equations, first introduced by Gelfand, Kapranov and Zelevinski, which has more solutions than just the periods. This same extended set of equations can be derived(More)
In this work we describe an entity resolution project performed at Yad Vashem, the central repository of Holocaust-era information. The Yad Vashem dataset is unique with respect to classic entity resolution, by virtue of being both massively multi-source and by requiring multi-level entity resolution. With today's abundance of information sources, this(More)
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