2 papers
math.AG2020
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…
math.NT2020
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…