5 citations · 10 across the 4 of their papers we have counts for
4 papers
Geodesic Rays in the Donaldson--Uhlenbeck--Yau Theorem
Mattias Jonsson, Nicholas McCleerey, Sanal Shivaprasad
We give new proofs of two implications in the Donaldson--Uhlenbeck--Yau theorem. Our proofs are based on geodesic rays of Hermitian metrics, inspired by recent work on the Yau--Tia…
Convergence of Narasimhan-Simha measures on degenerating families of Riemann surfaces
Sanal Shivaprasad
Given a compact Riemann surface and a positive integer , Narasimhan and Simha defined a measure on associated to the -th tensor power of the canonical line bundle. We…
Convergence of Bergman measures towards the Zhang measure
Sanal Shivaprasad
We prove a folklore conjecture that the Bergman measure along a holomorphic family of curves parametrized by the punctured unit disk converges to the Zhang measure on the associate…
Convergence of volume forms on a family of log-Calabi-Yau varieties to a non-Archimedean measure
Sanal Shivaprasad
We study the convergence of volume forms on a degenerating holomorphic family of log-Calabi-Yau varieties to a non-Archimedean measure, extending a result of Boucksom and Jonsson.…