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20212024
most citedCounting rational curves with an -fold point

1 citations · 1 across the 5 of their papers we have counts for

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5 papers

math.AG2024

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…

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.AG2023

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…

math.AG2022★ 1 cited

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…

cs.RO2021

Optimal Placement of Roadside Infrastructure Sensors towards Safer Autonomous Vehicle Deployments

Roshan Vijay, Jim Cherian, Rachid Riah +2

Vehicles with driving automation are increasingly being developed for deployment across the world. However, the onboard sensing and perception capabilities of such automated or aut…