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math.AG2025
Geometric Construction of Quiver Tensor Products
Daigo Ito, John S. Nolan
By a classic theorem of Beilinson, the perfect derived category of projective space is equivalent to the category of derived representations of…
math.AG2025
A derived category analogue of the Nakai--Moishezon criterion
Daigo Ito, Noah Olander
We give a complete characterization of the line bundles on a proper variety whose tensor powers generate the derived category, answering a 2010 question of Chris Brav. The conditio…
math.AG2025
Polarizations on a triangulated category
Daigo Ito
In a recent collaboration, Hiroki Matsui and the author introduced a new proof of the reconstruction theorem of Bondal-Orlov and Ballard, using Matsui's construction of a ringed sp…