695 citations · 2k across the 49 of their papers we have counts for
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math.AG2010★ 40 cited
A short proof of the Göttsche conjecture
M. Kool, V. Shende, R. P. Thomas
We prove that for a sufficiently ample line bundle on a surface , the number of -nodal curves in a general -dimensional linear system is given by a universal polynomia…
math.AG2010★ 41 cited
Hilbert schemes of points on a locally planar curve and the Severi strata of its versal deformation
Vivek Shende
Let C be a locally planar curve. Its versal deformation admits a stratification by the genera of the fibres. The strata are singular; we show that their multiplicities at the centr…
math.AG2010★ 128 cited
The Hilbert scheme of a plane curve singularity and the HOMFLY polynomial of its link
Alexei Oblomkov, Vivek Shende
The intersection of a complex plane curve with a small three-sphere surrounding one of its singularities is a non-trivial link. The refined punctual Hilbert schemes of the singular…