Jacob Lewis

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We present a study of certain singular one-parameter subfamilies of Calabi-Yau threefolds realized as anticanonical hypersurfaces or complete intersections in toric varieties. Our attention to these families is motivated by the Doran-Morgan classification of variations of Hodge structure which can underlie families of Calabi-Yau threefolds with h 2,1 = 1(More)
We investigate the seven exceptional families as defined in [GMT]. Experimental as well as rigorous evidence suggests that to each family corresponds exactly one manifold. A certain two generator subgroup in PSL(2, C) is specified for each of the seven families in [GMT]. Using Newton's method for finding roots of polynomials in several variables we solve(More)
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