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arXiv · 2110.07496

Extremal metrics on the total space of destabilising test configurations

Lars Martin Sektnan·Cristiano Spotti
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Abstract

We construct extremal metrics on the total space of certain destabilising test configurations for strictly semistable K\"ahler manifolds. This produces infinitely many new examples of manifolds admitting extremal K\"ahler metrics. It also shows for such metrics a new phenomenon of jumping of the complex structure along fibres.

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Lars Martin Sektnan, Cristiano Spotti. 2021-10-14. Extremal metrics on the total space of destabilising test configurations. https://arxiv.org/abs/2110.07496

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