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math.AG2025
Log Calabi--Yau manifolds: holomorphic tensors, stability and universal cover
Tristan C. Collins, Henri Guenancia
We study various geometric properties of log Calabi-Yau manifolds, i.e. log smooth pairs such that . More specifically, we focus on the two cases where is a Fa…
math.DG2025
An introduction to conifold transitions
Tristan C. Collins
These lecture notes introduce conifold transitions between complex threefolds with trivial canonical bundle from the differential geometric point of view, and with a particular vie…