Shreedhar Bhat

activity

20232026

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3 papers · 1 filter

math.CV2026

Strongly Pseudoconvex Domains with Finite Dimensional $p$ -Bergman Spaces

Shreedhar Bhat, Soumya Ganguly, Achinta Kumar Nandi

We show that for every $n \geq 2$ , $p > 2$ , and positive integer $m$ , there exists a finite-volume pseudoconvex domain $D \subset C^{n}$ with real-analytic strongly pseudoconvex bou…

math.CV2026

Abundance of Bergman metrics with constant positive holomorphic sectional curvature

Shreedhar Bhat, Soumya Ganguly, Achinta Kumar Nandi +1

An outstanding open question, which has attracted renewed attention following the pioneering work of Huang--Li--Treuer, is whether, for a given positive integer $m$ , there exists a…

math.CV2026

Stability of the Monomial Basis Kernel of Reinhardt domains

Shreedhar Bhat, Sahil Gehlawat

On a pseudoconvex Reinhardt domain $Ω \subset C^{n}$ the $p$ -Bergman space $A^{p} (Ω)$ admits a canonical basis of monomials indexed by a subset $S_{p} (Ω) \subset Z^{n}$ . The…

Strongly Pseudoconvex Domains with Finite Dimensional p-Bergman Spaces

Abundance of Bergman metrics with constant positive holomorphic sectional curvature

Stability of the Monomial Basis Kernel of Reinhardt domains

Strongly Pseudoconvex Domains with Finite Dimensional $p$ -Bergman Spaces