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math.AG2013★ 7 cited
Enumeration of curves with one singular point
Somnath Basu, Ritwik Mukherjee
In this paper we obtain an explicit formula for the number of degree d curves in two dimensional complex projective space, passing through (d(d+3)/2 -k) generic points and having a…
math.AT2013★ 13 cited
Homotopy groups and periodic geodesics of closed 4-manifolds
Samik Basu, Somnath Basu
Given a simply connected, closed four manifold, we associate to it a simply connected, closed, spin five manifold. This leads to several consequences : the stable and unstable homo…