Pluricomplex green's functions and fano manifolds

Nicholas McCleerey, Valentino Tosatti

Research output: Contribution to journalArticlepeer-review

3 Scopus citations


We show that if a Fano manifold does not admit Kähler-Einstein metrics then the Kähler potentials along the continuity method subconverge to a function with analytic singularities along a subvariety which solves the homogeneous complex Monge-Ampère equation on its complement, confirming an expectation of Tian-Yau.

Original languageEnglish (US)
Article numberY
JournalEpijournal de Geometrie Algebrique
StatePublished - 2019


  • Algebraic Kähler potentials
  • Fano manifold
  • Pluricomplex green function

ASJC Scopus subject areas

  • Algebra and Number Theory
  • Geometry and Topology


Dive into the research topics of 'Pluricomplex green's functions and fano manifolds'. Together they form a unique fingerprint.

Cite this