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math.AG2014★ 2 cited
Enumeration of singular hypersurfaces on arbitrary complex manifolds
Ritwik Mukherjee
In this paper we obtain an explicit formula for the number of hypersurfaces in a compact complex manifold X (passing through the right number of points), that has a simple node, a…
math.AG2014★ 4 cited
Enumeration of curves with two singular points
Somnath Basu, Ritwik Mukherjee
In this paper we obtain an explicit formula for the number of curves in two dimensional complex projective space, of degree d, passing through d(d+3)/2-(k+1) generic points and hav…