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Differential Rings from Special Kähler Geometry (1310.3555v2)

Published 14 Oct 2013 in hep-th, math.AG, and math.NT

Abstract: We study triples of graded rings defined over the deformation spaces for certain one-parameter families of Calabi-Yau threefolds. These rings are analogues of the rings of modular forms, quasi-modular forms and almost-holomorphic modular forms. We also discuss some of their applications in solving the holomorphic anomaly equations.

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