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arXiv · 1610.06865

Extremal metrics on blowups along submanifolds

Reza Seyyedali·Gábor Székelyhidi
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Abstract

We give conditions under which the blowup of an extremal K\"ahler manifold along a submanifold of codimension greater than two admits an extremal metric. This generalizes work of Arezzo-Pacard-Singer, who considered blowups in points.

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Reza Seyyedali, Gábor Székelyhidi. 2016-10-21. Extremal metrics on blowups along submanifolds. https://arxiv.org/abs/1610.06865

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