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Generic regularity of intermediate complex structure limits
Yang Li, Valentino Tosatti
We study certain polarized degenerations of Calabi-Yau manifolds near an intermediate complex structure limit, and improve the potential -convergence to a metric convergence r…
From tropical curves to special Lagrangians
Shih-Kai Chiu, Yang Li, Yu-Shen Lin
We show that any locally planar tropical curve (with unit edge weights) can be realized as the limit of the rescaled moment map images of a family of specia…
Degeneration of Calabi-Yau metrics and canonical basis
Yang Li
For polarised degenerations of Calabi-Yau manifolds whose essential skeleton has dimension , we show that the potential theoretic limit of the Calabi-Yau metri…
The large mass limit of and Calabi-Yau monopoles
Yang Li
We develop a structure theory for the limit of -monopoles (resp. Calabi-Yau monopoles) on a principal -bundle over an asymptotically conical -manifolds (re…