Hiroto Akaike

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math.AG2025

Normal stable degenerations of Noether-Horikawa surfaces

Hiroto Akaike, Makoto Enokizono, Masafumi Hattori +1

We classify all normal stable Horikawa surfaces with only $Q$ -Gorenstein smoothable log canonical singularities. Furthermore, we provide a criterion for their global $\mat…

math.AG2024

On the Gonality type invariants and the slope of a fibered $3$ -fold

Hiroto Akaike

The \textit{slope} of a fibered $3$ -folds $f : X \to B$ is a relative numerical invariant defined by $λ (f) := K_{f}^{3} / deg (f_{*} ω_{f})$ , where $K_{f}$ is the relative ca…

Normal stable degenerations of Noether-Horikawa surfaces

On the Gonality type invariants and the slope of a fibered 3-fold

On the Gonality type invariants and the slope of a fibered $3$ -fold