Jaikrishnan Janardhanan

collaborators

4 papers

math.CV2018

Schwarz lemmas via the pluricomplex Green's function

We prove a version of the Schwarz lemma for holomorphic mappings from the unit disk into the symmetric product of a Riemann surface. Our proof is function-theoretic and self-contai…

math.CV2018

A $1$ -point Quadrature domain of order $1$ not biholomorphic to a balanced domain

Pranav Haridas, Jaikrishnan Janardhanan

It is known that if $f : D_{1} \to D_{2}$ is a polynomial biholomorphism with polynomial inverse and constant Jacobian then $D_{1}$ is a $1$ -point Quadrature domain (the Bergman span cont…

math.CV2018

A note on the smoothness of the Minkowski function

Pranav Haridas, Jaikrishnan Janardhanan

The Minkowski function is a crucial tool used in the study of balanced domains and, more generally, quasi-balanced domains in several complex variables. If a quasi-balanced domain…

math.CV2018

Proper holomorphic mappings onto symmetric products of a Riemann surface

Gautam Bharali, Indranil Biswas, Divakaran Divakaran +1

We show that the structure of proper holomorphic maps between the $n$ -fold symmetric products, $n \geq 2$ , of a pair of non-compact Riemann surfaces $X$ and $Y$ , provided these are…

Schwarz lemmas via the pluricomplex Green's function

A 1-point Quadrature domain of order 1 not biholomorphic to a balanced domain

A note on the smoothness of the Minkowski function

Proper holomorphic mappings onto symmetric products of a Riemann surface

A $1$ -point Quadrature domain of order $1$ not biholomorphic to a balanced domain