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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 be a smooth projective curve of genus over , and let be a vector bundle on . We investigate the birational geometry of the Quot scheme ${\rm…