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math.CV2021
Double sided torus actions and complex geometry on
Hiroaki Ishida, Hisashi Kasuya
We construct explicit complex structures and transversely Kähler holomorphic foliations on corresponding to variations of real quadratic equations on a complex quadric in $…
math.AG2021
Cohomology of holomorphic line bundles and Hodge symmetry on Oeljeklaus-Toma manifolds
Hisashi Kasuya
We prove the Hodge symmetry type result on the Dolbeault cohomology of Oeljeklaus-Toma manifolds with values in the direct sum of holomorphic line bundles. Consequently, we show th…