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Enumeration of Rational Cuspidal Curves via the WDVV equation
Indranil Biswas, Apratim Choudhury, Ritwik Mukherjee +1
We give a conjectural formula for the characteristic number of rational cuspidal curves in the projective plane by extending the idea of Kontsevich's recursion formula (namely, pul…
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…
Counting Curves with Tangencies
Indranil Biswas, Apratim Choudhury, Ritwik Mukherjee +1
Interpreting tangency as a limit of two transverse intersections, we obtain a concrete formula to enumerate smooth degree plane curves tangent to a given line at multiple point…
Counting rational curves with an -fold point
Indranil Biswas, Chitrabhanu Chaudhuri, Apratim Choudhury +2
We obtain a recursive formula for the number of rational degree curves in that pass through generic points and that have an -fold singular point. Th…