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Mathematics > Differential Geometry

Title: A construction of SKT manifolds using toric geometry

Authors: Hatice Coban, Cagri Haciyusufoglu, Mainak Poddar
(Submitted on 3 May 2020 (v1), last revised 19 Nov 2020 (this version, v2))
Abstract: We produce infinite families of SKT manifolds by using methods of toric geometry like the $J$-construction. These SKT manifolds are total spaces of certain principal $G$-bundles over smooth projective toric varieties, where $G$ is an even dimensional compact connected Lie group.
Comments: Minor revisions. To appear in Bol. Soc. Mat. Mex
Subjects: Differential Geometry (math.DG); Algebraic Topology (math.AT); Complex Variables (math.CV)
MSC classes: 53C55, 14M25, 32L05, 32Q99, 53C07, 53C15
Cite as: arXiv:2005.01085 [math.DG]
  (or arXiv:2005.01085v2 [math.DG] for this version)

Submission history

From: Mainak Poddar [view email]
[v1] Sun, 3 May 2020 13:41:10 GMT (11kb)
[v2] Thu, 19 Nov 2020 15:53:51 GMT (12kb)
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