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math.AG2026
Tensor-generating line bundles on toric varieties
Daigo Ito, Michael R. Zeng, Xiangru Zeng
A line bundle is -generating if its powers generate the derived category of perfect complexes. Refining the derived Nakai--Moishezon criterion of Ito--Olander, we characte…
math.AG2026
Bondal--Orlov reconstruction for tame stacks with trivial generic stabilizer
Daigo Ito, Noah Olander
We generalize the Bondal--Orlov Reconstruction Theorem to smooth, proper, tame algebraic stacks with generically trivial stabilizer, whose canonical bundles are nowhere torsion: Th…