Atsushi Ito

collaborators

6 papers

math.AG2026

Remarks on basepoint-freeness thresholds of polarized abelian surfaces

Atsushi Ito

We determine the basepoint-freeness threshold of a very general polarized abelian surface over the field of complex numbers. We also give the first example of a polarized abelian s…

math.AG2026

Seshadri constants and Gromov widths of toric varieties associated with generalized permutohedra

Atsushi Ito

In this paper, we study the Seshadri constants and Gromov widths of polarized toric varieties whose moment polytopes are generalized permutohedra. We show that both invariants coin…

math.AG2026

Birational Geometry of Quot Schemes on smooth projective curves via Stable Pairs

Chandranandan Gangopadhyay, Atsushi Ito

Let $C$ be a smooth projective curve of genus $g \geq 2$ over $C$ , and let $E^{0}$ be a vector bundle on $C$ . We investigate the birational geometry of the Quot scheme ${\rm…

math.AG2025

Hyperbolicity of adjoint linear series on varieties with positive tangent bundle

Atsushi Ito, JoaquÃn Moraga, Debaditya Raychaudhury +1

Let $X$ be a smooth projective variety of dimension $n \geq 3$ , and let $L$ be an ample line bundle on $X$ . In this article, we study the algebraic hyperbolicity of a very general s…

math.AG2025

On the Cox rings of some hypersurfaces

Andrew Pollock, Atsushi Ito, Balazs Szendroi

We introduce a cohomological method to compute Cox rings of hypersurfaces in the ambient space P^1 x P^n, which is more direct than existing methods. We prove that smooth hypersurf…

math.AG2025

A remark on some punctual Quot schemes on smooth projective curves

Atsushi Ito

For a locally free sheaf $E$ on a smooth projective curve, we can define the punctual Quot scheme which parametrizes torsion quotients of $E$ of length $n$ supp…