866 citations
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Showing 2002 · math.AGShow all
3 papers · 2 filters
math.AG2002★ 4 cited
Poisson deformations of symplectic quotient singularities
Victor Ginzburg, Dmitry Kaledin
We establish a connection between smooth symplectic resolutions and symplectic deformations of a (possibly singular) affine Poisson variety. In particular, let V be a finite-dimens…
math.AG2002★ 1 cited
Counting curves via lattice paths in polygons
Grigory Mikhalkin
This note presents a formula for the enumerative invariants of arbitrary genus in toric surfaces. The formula computes the number of curves of a given genus through a collection of…
math.AG2002★ 68 cited
Birationally rigid Fano hypersurfaces
Aleksandr V. Pukhlikov
We prove that a smooth Fano hypersurface , , is birationally superrigid. In particular, it cannot be fibered into uniruled varieties by a non-trivi…