6 citations · 10 across the 4 of their papers we have counts for
4 papers
On Kummer-like surfaces attached to singularity and modular forms
Atsuhira Nagano, Hironori Shiga
We study a family of lattice polarized surfaces which is an extension of the family of Kummer surfaces derived from principally polarized Abelian surfaces. Our family has two…
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…
Study on the family of K3 surfaces induced from the lattice $(D_4)^3 \oplus < -2 > \oplus < 2 >
K Koike, H Shiga, N Takayama +1
Let us consider the rank 14 lattice . We define a K3 surface S of type P with the property that , where ind…