Blowing up extremal Poincaré type manifolds

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• Lars Sektnan, UQAM / McGill
• Wednesday 15 May 2019, 16:00-17:00
• MR13.

If you have a question about this talk, please contact Ivan Smith.

Metrics of Poincaré type are Kähler metrics defined on the complement of a smooth divisor D in a compact Kähler manifold X which near D are modeled on the product of a smooth metric on D with the standard cusp metric on a punctured disk in the complex plane. In this talk I will discuss an Arezzo-Pacard type theorem for the existence of such metrics on blowups. A key feature is an obstruction which has no analogue in the compact case, coming from additional cokernel elements for the linearisation of the scalar curvature operator. This additional condition is conjecturally related to ensuring the metrics remain of Poincaré type.

This talk is part of the Differential Geometry and Topology Seminar series.

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