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A one parameter family of Calabi-Yau manifolds with attractor points of rank two
2020
Journal of High Energy Physics
In the process of studying the ζ-function for one parameter families of Calabi-Yau manifolds we have been led to a manifold, first studied by Verrill, for which the quartic numerator of the ζ-function factorises into two quadrics remarkably often. Among these factorisations, we find persistent factorisations; these are determined by a parameter that satisfies an algebraic equation with coefficients in ℚ, so independent of any particular prime. Such factorisations are expected to be modular with
doi:10.1007/jhep10(2020)202
fatcat:xqm4yrrldvgbtomxl47jnw7dmm