6 papers · 1 filter
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…
The Eisenstein cycles and Manin Drinfeld properties
Debargha Banerjee, Loic Merel
Consider a subgroup of finite index of modular group. We give an analytic criterion for a cuspidal divisor to be torsion in the Jacobian of the corresponding modular curve. By Bely…
A note on quadratic twisting of epsilon factors for modular forms with arbitrary nebentypus
Debargha Banerjee, Tathagata Mandal
In this article, we investigate the variance of local -factor for a modular form with arbitrary nebentypus with respect to twisting by a quadratic character. We detect…
Differential modular forms over totally real fields of non zero integral weights
Debargha Banerjee, Arnab Saha
In this article, we construct differential modular forms for compact Shimura curves over totally real fields bigger than rational of non-zero integral weights that is not classical…
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…
p-adic L-functions for GL(n)
Debargha Banerjee, A. Raghuram
These are the expanded notes of a mini-course of four lectures by the same title given in the workshop "p-adic aspects of modular forms" held at IISER Pune, in June, 2014. We give…