126 citations · 697 across the 321 of their papers we have counts for
22 papers · 2 filters
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…
A classification of equivariant principal bundles over nonsingular toric varieties
Indranil Biswas, Arijit Dey, Mainak Poddar
We classify holomorphic as well as algebraic torus equivariant principal -bundles over a nonsingular toric variety , where is a complex linear algebraic group. It is show…
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…
A symplectic analog of the Quot scheme
Indranil Biswas, Ajneet Dhillon, Jacques Hurtubise +1
We construct a symplectic analog of the Quot scheme that parametrizes the torsion quotients of a trivial vector bundle over a compact Riemann surface. Some of its properties are in…
Moduli spaces of vector bundles on a singular rational ruled surface
Usha N. Bhosle, Indranil Biswas
We study moduli spaces parametrizing slope semistable vector bundles of rank and fixed Chern classes on a ruled surface whose base is a rational nod…
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…