Extremal metrics on blowups along submanifolds

Reza Seyyedali, Gábor Székelyhidi

Research output: Contribution to journalArticlepeer-review

2 Scopus citations

Abstract

We give conditions under which the blowup of an extremal Kähler 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.

Original languageEnglish (US)
Pages (from-to)171-192
Number of pages22
JournalJournal of Differential Geometry
Volume114
Issue number1
DOIs
StatePublished - 2020

ASJC Scopus subject areas

  • Analysis
  • Algebra and Number Theory
  • Geometry and Topology

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