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math.AG2024
On a fibre bundle version of the Caporaso-Harris formula
Indranil Biswas, Apratim Choudhury, Nilkantha Das +1
The Caporaso-Harris formula gives a recursive algorithm to enumerate delta nodal degree d curves in P^2. The recursion is obtained in terms of curves of lower degree that are tange…
math.AG2015
Counting curves on a general linear system with up to two singular points
Somnath Basu, Ritwik Mukherjee
In this paper we obtain an explicit formula for the number of curves in a compact complex surface (passing through the right number of generic points), that has up to one node…
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…