Kota Hattori

collaborators

2 papers

math.DG2025

The harmonic $2$ -forms on $K 3$ surfaces converging to a flat $4$ -dimensional orbifold

Kota Hattori

In this article, we study the asymptotic behavior of harmonic $2$ -forms on $K 3$ surfaces with Ricci-flat Kähler metrics, where metrics converge to the quotient of a flat $4$ -torus…

math.DG2024

The energy of maps accompanying the collapsing of the $K 3$ surface to a flat 3-dimensional orbifold

Kota Hattori

We study the Dirichlet energy of some smooth maps appearing in a collapsing family of hyper-Kähler metrics on the $K 3$ surface constructed by Foscolo. We introduce an invariant for…

The harmonic 2-forms on K3 surfaces converging to a flat 4-dimensional orbifold

The energy of maps accompanying the collapsing of the K3 surface to a flat 3-dimensional orbifold

The harmonic $2$ -forms on $K 3$ surfaces converging to a flat $4$ -dimensional orbifold

The energy of maps accompanying the collapsing of the $K 3$ surface to a flat 3-dimensional orbifold