17 citations · 28 across the 5 of their papers we have counts for
12 papers
Derived equivalences by quantization
D. Kaledin
We assume given a smooth symplectic (in the algebraic sense) resolution of an affine algebraic variety , and we prove that, possibly after replacing with an etale neighb…
Sommese Vanishing for non-compact manifolds
D. Kaledin
The Kodaira-Nakano Vanishing Theorem has been generalized to the relative setting by A. Sommese. We prove a version of this theorem for non-compact manifolds. As an apllication, we…
On the coordinate ring of a projective Poisson scheme
D. Kaledin
The projective coordinate ring of a projective Poisson scheme does not usually admit a structure of a Poisson algebra. We show that when , this can be…
Symplectic singularities from the Poisson point of view
D. Kaledin
We consider symplectic singularities in the sense of A. Beauville as examples of Poisson schemes. Using Poisson methods, we prove that a symplectic singularity admits a finite stra…
Fedosov quantization in algebraic context
R. Bezrukavnikov, D. Kaledin
We consider the problem of quantization of smooth symplectic varieties in the algebro-geometric setting. We show that, under appropriate cohomological assumptions, the Fedosov quan…
A canonical hyperkaehler metric on the total space of a cotangent bundle
D. Kaledin
A canonical hyperkaehler metric on the total space of a cotangent bundle to a complex manifold has been constructed recently by the author (see alg-geom/9710026). This p…