103 citations · 686 across the 101 of their papers we have counts for
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math.AG2007★ 2 cited
Simple helices on Fano threefolds
Alexander Polishchuk
Building on the work of Nogin \cite{Nogin}, we prove that the braid group acts transitively on full exceptional collections of vector bundles on Fano threefolds with …
math.AG2007
Fourier-stable subrings in the Chow rings of abelian varieties
Alexander Polishchuk
We study subrings in the Chow ring $\CH^*(A)_{\Bbb Q}$ of an abelian variety , stable under the Fourier transform with respect to an arbitrary polarization. We prove that by tak…
math.AG2007
Algebraic cycles on the relative symmetric powers and on the relative Jacobian of a family of curves. I
Alexander Polishchuk
In this paper we construct and study the actions of certain deformations of the Lie algebra of Hamiltonians on the plane on the Chow groups (resp., cohomology) of the relative symm…