Extremal metrics on the total space of destabilising test configurations

نویسندگان

چکیده

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 manifolds admitting metrics. It also shows such a phenomenon jumping complex structure along fibres.

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15 صفحه اول

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ژورنال

عنوان ژورنال: Mathematische Annalen

سال: 2023

ISSN: ['1432-1807', '0025-5831']

DOI: https://doi.org/10.1007/s00208-023-02601-1