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Differential geometric global smoothings of simple normal crossing complex surfaces with trivial canonical bundle
Mamoru Doi, Naoto Yotsutani
Let be a simple normal crossing (SNC) compact complex surface with trivial canonical bundle which includes triple intersections. We prove that if is -semistable, then th…
Gluing construction of compact Spin(7)-manifolds
Mamoru Doi, Naoto Yotsutani
We give a differential-geometric construction of compact manifolds with holonomy which is based on Joyce's second construction of compact -mani…
Doubling construction of Calabi-Yau fourfolds from toric Fano fourfolds
Mamoru Doi, Naoto Yotsutani
We give a differential-geometric construction of Calabi-Yau fourfolds by the `doubling' method, which was introduced in \cite{DY14} to construct Calabi-Yau threefolds. We also give…
Doubling construction of Calabi-Yau threefolds
Mamoru Doi, Naoto Yotsutani
We give a differential-geometric construction and examples of Calabi-Yau threefolds, at least one of which is {\it{new}}. Ingredients in our construction are {\it admissible pairs}…