Motivic Zeta Functions of the Quartic and its Mirror Dual

Published 13 May 2015 in math.AG | (1505.03284v1)

Abstract: We use a formula of Bultot to compute the motivic zeta function for the toric degeneration of the quartic K3 and its Gross-Siebert mirror dual degeneration. We check for this explicit example that the identification of the logarithm of the monodromy and the mirror dual Lefschetz operator works at an integral level.

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