2020/01/16 by Lieblich, Max, Olsson, Martin
#Algebraic Geometry (math.AG) #FOS: Mathematics
paper · doi:10.48550/arxiv.2001.05995
We discuss the question of finding conditions on a derived equivalence between two smooth projective varieties X and Y that imply that X and Y are birational. The types of conditions we consider are in the spirit of finding categorical analogous of classical Torelli theorems. We study, in particular, a notion of strongly filtered derived equivalence and study cases where strongly filtered derived equivalence implies birationality. We also consider an open variant of our main question.