3 papers
math.NT2022
The intersection matrices of and some applications
Debargha Banerjee, Priyanka Majumder, Chitrabhanu Chaudhuri
We compute intersection matrices for modular curves of the form with and as an application, we compute an asymptotic expression for the Arakelov self-int…
math.AG2019
Elliptic Gromov-Witten Invariants of Del-Pezzo Surfaces
Chitrabhanu Chaudhuri, Nilkantha Das
We obtain a formula for the number of genus one curves with a variable complex structure of a given degree on a del-Pezzo surface that pass through an appropriate number of generic…
math.NT2018
Semi-stable models of modular Curves and some arithmetic applications
Debargha Banerjee, Chitrabhanu Chaudhuri
In this paper, we compute the semi-stable models of modular curves for odd primes and compute the Arakelov self-intersection numbers of the relative dualising sh…