Taming symplectic forms and the Calabi-Yau equation

Valentino Tosatti*, Ben Weinkove, Shing Tung Yau

*Corresponding author for this work

Research output: Contribution to journalArticlepeer-review

50 Scopus citations

Abstract

We study the Calabi-Yau equation on symplectic manifolds. We show that Donaldson's conjecture on estimates for this equation in terms of a taming symplectic form can be reduced to an integral estimate of a scalar potential function. Under a positive curvature condition, we show that the conjecture holds.

Original languageEnglish (US)
Pages (from-to)401-424
Number of pages24
JournalProceedings of the London Mathematical Society
Volume97
Issue number2
DOIs
StatePublished - Sep 2008

ASJC Scopus subject areas

  • Mathematics(all)

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