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math.DG2022★ 1 cited
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…
math.DG2019★ 2 cited
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.…