9 papers
On the Classification of Stein spaces with Bergman-Einstein metrics
Soumya Ganguly, Siddhartha Sahi
For every , we prove that the Bergman metric on the regular locus of a finite ball quotient , where is finite and fixed-point-free,…
Cohomology of complex supertori
Hargun Bhatia, Soumya Ganguly, Zhiyuan Jiang +2
We consider supertori which are quotients of affine superspace by translations by algebraically independent odd parameters. Specifically, we describe the ring structure of its spac…
Attention as In-Context Empirical Bayes: A Two-Stage View via Particle Dynamics
Matthew Smart, Soumya Ganguly, Nilava Metya +2
We study minimal attention-only transformers under all-token corruption and show they admit a two-stage empirical Bayes interpretation. A single attention step computes a kernel-we…
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 , there exists a…
On Laplacian and Distance Laplacian Spectra of Generalized Fan Graph & a New Graph Class
Subarsha Banerjee, Soumya Ganguly
Given a graph , the Laplacian matrix of , is the difference of the adjacency matrix and , where is the diagonal matrix of vertex…
Rotational symmetries of domains and orthogonality relations
Soumya Ganguly, John N. Treuer
Let be a domain whose Bergman space contains all holomorphic monomials. We derive sufficient conditions for to be Reinhardt, complete Reinhardt, circula…