Theta Function Basis of the Cox ring of Postive 2d Looijenga pairs

Published 2 Dec 2024 in math.AG | (2412.01774v1)

Abstract: We give a canonical basis of theta functions for the Cox ring of two dimensional Looijenga pairs with affine interior, with structure constants naive counts of k-analytic disks in the total space of the universal deformation of the mirror (which, as this is dimension two, is isomorphic to the log Calabi-Yau surface itself)

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