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math.DG2020
On the degeneration of asymptotically conical Calabi-Yau metrics
Tristan C. Collins, Bin Guo, Freid Tong
We study the degenerations of asymptotically conical Ricci-flat Kähler metrics as the Kähler class degenerates to a semi-positive class. We show that under appropriate assumptions,…
math.DG2020
A new positivity condition for the curvature of Hermitian manifolds
Freid Tong
In this note, we introduce a new type of positivity condition for the curvature of a Hermitian manifold, which generalizes the notion of nonnegative quadratic orthogonal bisectiona…