Hodge numbers of hypergeometric data

Ling Long; Yifan Yang

Hodge numbers of hypergeometric data

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arxiv 2404.02834 v1 pith:AOB5YFFU submitted 2024-04-03 math.NT math.AG

Ling Long , Yifan Yang This is my paper · ORCID

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keywords hypergeometricdatahodgenumbersbeukers--cohen--mellitcomputedefineddiagram

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abstract

In this paper, based on the toric hypergeometric model given in a paper by Beukers--Cohen--Mellit, we provide two other ways to explain why the zig-zag diagram method can be used to compute Hodge numbers for hypergeometric data defined over $\mathbb Q$.

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The Explicit Hypergeometric-Modularity Method II
math.NT 2024-11 conditional novelty 7.0 of 10

Well-poised hypergeometric data at λ=-1 yield degree-four Galois representations that are automorphic, with traces equal to products of Fourier coefficients of two explicit modular forms.

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