5 citations · 6 across the 8 of their papers we have counts for
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Tropical rational curves with first order tangency via WDVV
Anantadulal Paul, Aditya Subramaniam
In this article, we study the tropical counterpart of the enumeration of rational curves in with first order tangency. We use the tropical analogue of the WDVV tech…
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…
Gromov-Witten invariants in family and quantum cohomology
Indranil Biswas, Nilkantha Das, Jeongseok Oh +1
A moduli space of stable maps to the fibers of a fiber bundle is constructed. The new moduli space is a family version of the classical moduli space of stable maps to a non-singula…
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…
Counting singular curves with tangencies
Anantadulal Paul
We obtain a recursive formula for the characteristic number of degree curves in with prescribed singularities (of type ) that are tangent to a given line. T…
Enumeration of rational curves in a moving family of
Ritwik Mukherjee, Anantadulal Paul, Rahul Kumar Singh
We obtain a recursive formula for the number of rational degree curves in , whose image lies in a , passing through lines and points, where…