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math.DG2025
Non-Kähler Calabi-Yau manifolds and holomorphic geometric structures
Indranil Biswas, Sorin Dumitrescu
We study holomorphic geometric structures on non-Kähler compact complex manifolds with trivial canonical line bundle. For Vaisman Calabi-Yau manifolds we prove that all holomorphic…
math.DG2025
Turbulent holomorphic foliations on compact complex tori and transversely holomorphic Cartan geometry
Indranil Biswas, Sorin Dumitrescu
We define a class of nonsingular holomorphic foliations on compact complex tori which generalizes (in higher codimension) the turbulent foliations of codimension one constructed by…