Atsuhira Nagano

activity

20192024

collaborators

4 papers

math.AG2024

Picard-Fuchs system for family of Kummer surfaces as subsystem of GKZ hypergeometric system

Atsuhira Nagano

We determine a simple expression of the Picard-Fuchs system for a family of Kummer surfaces for all principally polarized Abelian surfaces. It is given by a system of linear partia…

math.AG2021

The ring of modular forms for the even unimodular lattice of signature (2,18)

Atsuhira Nagano, Kazushi Ueda

We show that the ring of modular forms with characters for the even unimodular lattice of signature (2,18) is obtained from the invariant ring of $\mathrm{Sym}(\mathrm{Sym}^8(V) \o…

math.AG2020

The ring of modular forms of $O (2, 4; Z)$ with characters

Atsuhira Nagano, Kazushi Ueda

We show that the ring of modular forms with characters for $O (2, 4; Z)$ is generated by forms of weights 4, 4, 6, 8, 10, 10, 12, and 30 with three relations of weig…

math.AG2019

Inverse period mappings of $K 3$ surfaces and a construction of modular forms for a lattice with the Kneser conditions

Atsuhira Nagano

We explicitly construct modular forms on a $4$ -dimensional bounded symmetric domain of type $I V$ based on the variation of the Hodge structures of $K 3$ surfaces. We study the ring…

Picard-Fuchs system for family of Kummer surfaces as subsystem of GKZ hypergeometric system

The ring of modular forms for the even unimodular lattice of signature (2,18)

The ring of modular forms of O(2,4;Z) with characters

Inverse period mappings of K3 surfaces and a construction of modular forms for a lattice with the Kneser conditions

The ring of modular forms of $O (2, 4; Z)$ with characters

Inverse period mappings of $K 3$ surfaces and a construction of modular forms for a lattice with the Kneser conditions