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math.NT2020★ 6 cited
Geometric interpretation of Hermitian modular forms via Burkhardt invariants
Atsuhira Nagano, Hironori Shiga
We give a complete theta expression of a pair of Hermitian modular forms as an inverse period mapping of lattice polarized surfaces. Our result gives a non-trivial relation am…
math.NT2015★ 4 cited
To the Hilbert class field from the hypergeometric modular function
Atsuhira Nagano, Hironori Shiga
In this article we make an explicit approach to the higher degree case of the problem: " For a given field , construct its maximal abelian extension (i.e. the Hilber…