7 citations · 36 across the 15 of their papers we have counts for
15 papers
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…
Turbulent flows are not uniformly multifractal
Siddhartha Mukherjee, Sugan D. Murugan, Ritwik Mukherjee +1
The Frisch-Parisi multifractal formalism remains the most compelling rationalisation for anomalous scaling in fully developed turbulence. We now show that this formalism can be ada…
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 planar curves in with degenerate singularities
Nilkantha Das, Ritwik Mukherjee
In this paper, we consider the following question: how many degree curves are there in (passing through the right number of generic lines and points), whose imag…
Rational Cuspidal Curves in a moving family of
Ritwik Mukherjee, Rahul Kumar Singh
In this paper we obtain a formula for the number of rational degree d curves in having a cusp, whose image lies in a and that passes through lines…
Counting curves in a linear system with upto eight singular points
Somnath Basu, Ritwik Mukherjee
In this paper, we develop a systematic approach to enumerate curves with a certain number of nodes and one further singularity which maybe more degenerate. As a result, we obtain a…
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…
Genus two enumerative invariants in del-Pezzo surfaces with a fixed complex structure
Indranil Biswas, Ritwik Mukherjee, Varun Thakre
We obtain a formula for the number of genus two curves with a fixed complex structure of a given degree on a del-Pezzo surface that pass through an appropriate number of generic po…
Rational cuspidal curves on del-Pezzo surfaces
Indranil Biswas, Shane D'Mello, Ritwik Mukherjee +1
We obtain an explicit formula for the number of rational cuspidal curves of a given degree on a del-Pezzo surface that pass through an appropriate number of generic points of the s…
Genus one enumerative invariants in del-Pezzo surfaces with a fixed complex structure
Indranil Biswas, Ritwik Mukherjee, Varun Thakre
We obtain a formula for the number of genus one curves with a fixed complex structure of a given degree on a del-Pezzo surface that pass through an appropriate number of generic po…
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…
Probability distribution of constrained Random Walks
Ritwik Mukherjee
In this paper we consider a sequence of n coin tosses, whose outcome depends on the previous n-1 tosses. In particular, their distribution is not i.i.d. We compute the limiting dis…
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…
Enumeration of curves with two singular points
Somnath Basu, Ritwik Mukherjee
In this paper we obtain an explicit formula for the number of curves in two dimensional complex projective space, of degree d, passing through d(d+3)/2-(k+1) generic points and hav…
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…