7 papers
Geometry of the Space of Sections of Twistor Spaces with Circle Action
Florian Beck, Indranil Biswas, Sebastian Heller +1
We study the holomorphic symplectic geometry of (the smooth locus of) the space of holomorphic sections of a twistor space with rotating circle action. The twistor space carries a…
On the third and fourth Betti numbers of a homogeneous space of a Lie group
Indranil Biswas, Pralay Chatterjee, Chandan Maity
In the paper "The second cohomology of nilpotent orbits in classical Lie algebras, Kyoto J. Math. 60 (2020), no. 2, 717-799" by I. Biswas, P. Chatterjee, and C. Maity, explicit des…
Infinitesimal deformations of some quot schemes, II
Indranil Biswas, Chandranandan Gangopadhyay, Ronnie Sebastian
Let be an irreducible smooth complex projective curve of genus , with . Let be a vector bundle on of rank , with . Let $\mc Q:=\mc…
Geometry of -trivial Moishezon manifolds : decomposition theorem and holomorphic geometric structures
Indranil Biswas, Junyan Cao, Sorin Dumitrescu +1
Let be a compact complex manifold such that its canonical bundle is numerically trivial. Assume additionally that is Moishezon or is Fujiki with dimension at most…
Chen--Ruan cohomology and orbifold Euler characteristic of moduli spaces of parabolic bundles
Indranil Biswas, Sujoy Chakraborty, Arijit Dey
We consider the moduli space of stable parabolic Higgs bundles of rank and fixed determinant, and having full flag quasi-parabolic structures over an arbitrary parabolic diviso…
On the fundamental group schemes of certain quotient varieties
Indranil Biswas, Phùng Hô Hai, João Pedro dos Santos
In \cite{armstrong}, M. Armstrong proved a beautiful result describing fundamental groups of quotient spaces. In this paper we prove an analogue of Armstrong's theorem in the setti…