3 citations · 3 across the 7 of their papers we have counts for
7 papers
Topology of moduli of parabolic connections with fixed determinant
Nilkantha Das, Sumit Roy
Let be a compact Riemann surface of genus and be a fixed finite subset. Let be a line bundle of degree over . Let (res…
Some remarks on two-periodic modules over local rings
Nilkantha Das, Sutapa Dey
In this note, some properties of finitely generated two-periodic modules over commutative Noetherian local rings have been studied. We show that under certain assumptions on a pair…
On torsion-freeness of Kähler differential sheaves
Nilkantha Das, Sumit Roy
Let be a normal algebraic variety over an algebraically closed field of characteristic zero. We prove that the Kähler differential sheaf of is torsion-free if and only…
A regular interpolation problem and its applications
Nilkantha Das
In this article, we prove the following interpolation problem: if the composition of a function and a regular map between affine varieties is a regular function, then there exists…
On Endomorphism of Algebraic Varieties
Nilkantha Das
We prove that a quasi-finite endomorphism of an algebraic variety over an algebraically closed field of characteristic zero, that is injective on the complement of a closed subvari…
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…
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…