期刊
COMMUNICATIONS IN NUMBER THEORY AND PHYSICS
卷 11, 期 4, 页码 879-912出版社
INT PRESS BOSTON, INC
DOI: 10.4310/CNTP.2017.v11.n4.a4
关键词
modular forms; Hodge filtration; Picard-Fuchs system
We study the limit of Calabi-Yau modular forms, and in particular, those resulting in classical modular forms. We then study two parameter families of elliptically fibred Calabi-Yau fourfolds and describe the modular forms arising from the degeneracy loci. In the case of elliptically fibred Calabi-Yau threefolds our approach gives a mathematical proof of many observations about modularity properties of topological string amplitudes starting with the work of Candelas, Font, Katz and Morrison. In the case of Calabi-Yau fourfolds we derive new identities not computed before.
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