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arXiv · 1807.10449

Towards transverse toric geometry

Hiroaki Ishida
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Abstract

We study certain foliated complex manifolds that behave similarly to complete nonsingular toric varieties. We classify them by combinatorial objects that we call marked fans. We describe the basic cohomology algebras of them in terms of corresponding marked fans. We also study the basic Dolbeault cohomology algebras of them.

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Hiroaki Ishida. 2018-07-27. Towards transverse toric geometry. https://arxiv.org/abs/1807.10449

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