Extremal metrics on the total space of destabilising test configurations
arXiv:2110.07496
Abstract
We construct extremal metrics on the total space of certain destabilising test configurations for strictly semistable Kähler manifolds. This produces infinitely many new examples of manifolds admitting extremal Kähler metrics. It also shows for such metrics a new phenomenon of jumping of the complex structure along fibres.
29 pages, comments very welcome!