Towards transverse toric geometry
Algebraic Geometry
2018-08-15 v2 Algebraic Topology
Complex Variables
Differential Geometry
Symplectic Geometry
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.
Cite
@article{arxiv.1807.10449,
title = {Towards transverse toric geometry},
author = {Hiroaki Ishida},
journal= {arXiv preprint arXiv:1807.10449},
year = {2018}
}
Comments
46 pages. Remarks 6.5, 6.12, 6.16 and 8.2 added. Typos fixed. References updated. Comments are welcome