13 citations · 96 across the 34 of their papers we have counts for
4 papers · 1 filter
A criterion for a degree-one holomorphic map to be a biholomorphism
Gautam Bharali, Indranil Biswas, Georg Schumacher
Let and be compact connected complex manifolds of the same dimension with . We prove that any surjective holomorphic map of degree one from to is a…
Pick interpolation on the polydisc: small families of sufficient kernels
Gautam Bharali, Vikramjeet Singh Chandel
We give a solution to Pick's interpolation problem on the unit polydisc in , , by characterizing all interpolation data that admit a -valued inte…
Holomorphic correspondences related to finitely generated rational semigroups
Gautam Bharali, Shrihari Sridharan
In this paper, we present a new technique for studying the dynamics of a finitely generated rational semigroup. Such a semigroup can be associated naturally to a certain holomorphi…
Goldilocks domains, a weak notion of visibility, and applications
Gautam Bharali, Andrew Zimmer
In this paper we introduce a new class of domains in complex Euclidean space, called Goldilocks domains, and study their complex geometry. These domains are defined in terms of a l…