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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.DG2022★ 2 cited
Tropical and non-Archimedean Monge-Ampère equations for a class of Calabi-Yau hypersurfaces
Jakob Hultgren, Mattias Jonsson, Enrica Mazzon +1
For a class of maximally degenerate families of Calabi-Yau hypersurfaces of complex projective space, we study associated non-Archimedean and tropical Monge-Ampère equations, takin…