Differential Rings from Special K\"ahler Geometry
classification
✦ hep-th
math.AGmath.NT
keywords
ringsformsmodularahleralmost-holomorphicanaloguesanomalyapplications
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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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