10 citations · 44 across the 19 of their papers we have counts for
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On Riemann type relations for theta functions on bounded symmetric domains of type
Atsuhira Nagano
We provide a practical technique to obtain plenty of algebraic relations for theta functions on the bounded symmetric domains of type . In our framework, each theta relation is…
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…
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…
Icosahedral invariants and a construction of class fields via periods of surfaces
Atsuhira Nagano
In the theory of complex multiplication, it is important to construct class fields over CM fields. In this paper, we consider explicit surfaces parametrized by Klein's icosahe…
Icosahedral invariants and Shimura curves
Atsuhira Nagano
Shimura curves are moduli spaces of abelian surfaces with quaternion multiplication. Models of Shimura curves are very important in number theory. Klein's icosahedral invariants $\…