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math.DG2026
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…
math.DG2026
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…