5 papers
Nowhere-vanishing harmonic 1-forms on real loci of K3-fibred Calabi-Yau 3-folds
Shih-Kai Chiu, Daniel Platt, Calum Spicer
We develop an analytic construction of nowhere-vanishing harmonic -forms on real loci of K3-fibred Calabi-Yau -folds with collapsing Ricci-flat Kähler metrics. We apply our c…
New examples of affine Calabi-Yau 3-folds with maximal volume growth
Shih-Kai Chiu, Ronan J. Conlon, Frédéric Rochon
We construct examples of complete Calabi-Yau metrics on smoothings of 3-dimensional Calabi-Yau cones that are not products of lower-dimensional Calabi-Yau cones and that have orbif…
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…
On Kähler-Einstein Currents
Yifan Chen, Shih-Kai Chiu, Max Hallgren +3
We show that a general class of singular Kähler metrics with Ricci curvature bounded below define Kähler currents. In particular the result applies to singular Kähler-Einstein metr…
Special Lagrangian submanifolds in K3-fibered Calabi-Yau 3-folds
Shih-Kai Chiu, Yu-Shen Lin
We construct special Lagrangian submanifolds in collapsing Calabi-Yau 3-folds fibered by K3 surfaces. As these 3-folds collapse, the special Lagrangians shrink to 1-dimensional gra…