Calabi-Yau manifolds and their degenerations

Valentino Tosatti*

*Corresponding author for this work

Research output: Contribution to journalArticlepeer-review

12 Scopus citations


Calabi-Yau manifolds are geometric objects of central importance in several branches of mathematics, including differential geometry, algebraic geometry, and mathematical physics. In this paper, we give a brief introduction to the subject aimed at a general mathematical audience and present some of our results that shed some light on the possible ways in which families of Calabi-Yau manifolds can degenerate.

Original languageEnglish (US)
Pages (from-to)8-13
Number of pages6
JournalAnnals of the New York Academy of Sciences
Issue number1
StatePublished - Jul 2012


  • Calabi-Yau manifolds
  • Degenerations of manifolds
  • Kähler metrics
  • Ricci curvature

ASJC Scopus subject areas

  • General Biochemistry, Genetics and Molecular Biology
  • General Neuroscience
  • History and Philosophy of Science


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