103 citations · 686 across the 101 of their papers we have counts for
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math.AG2008★ 7 cited
Kernel algebras and generalized Fourier-Mukai transforms
Alexander Polishchuk
We introduce and study kernel algebras, i.e., algebras in the category of sheaves on a square of a scheme, where the latter category is equipped with a monoidal structure via a nat…
math.AG2008★ 1 cited
K-theoretic exceptional collections at roots of unity
Alexander Polishchuk
Using cyclotomic specializations of the equivariant -theory with respect to a torus action we derive congruences for discrete invariants of exceptional objects in derived catego…
math.AG2008★ 3 cited
Algebraic cycles on the relative symmetric powers and on the relative Jacobian of a family of curves. II
Ben Moonen, Alexander Polishchuk
Let C be a curve over a non-singular base variety S. We study algebraic cycles on the symmetric powers C^[n] and on the Jacobian J. The Chow homology of C^[*], the sum of all C^[n]…