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math.AG2023
Root stacks and periodic decompositions
Agnieszka Bodzenta, Will Donovan
For an effective Cartier divisor D on a scheme X we may form an nth root stack. Its derived category is known to have a semiorthogonal decomposition with components given by D and…
math.AG2023
Reconstruction of a surface from the category of reflexive sheaves
Agnieszka Bodzenta, Alexey Bondal
We define a normal surface to be codim-2-saturated if any open embedding of into a normal surface with the complement of codimension 2 is an isomorphism. We show that any n…