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math.AG2025
Hyperbolicity of adjoint linear series on varieties with positive tangent bundle
Atsushi Ito, Joaquín Moraga, Debaditya Raychaudhury +1
Let be a smooth projective variety of dimension , and let be an ample line bundle on . In this article, we study the algebraic hyperbolicity of a very general s…
math.AG2025
A remark on some punctual Quot schemes on smooth projective curves
Atsushi Ito
For a locally free sheaf on a smooth projective curve, we can define the punctual Quot scheme which parametrizes torsion quotients of of length supp…
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…