Calabi-Yau manifolds and their degenerations

Valentino Tosatti*

*Corresponding author for this work

Research output: Contribution to journalArticlepeer-review

8 Scopus citations

Abstract

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
Volume1260
Issue number1
DOIs
StatePublished - Jul 2012

Keywords

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

ASJC Scopus subject areas

  • Neuroscience(all)
  • Biochemistry, Genetics and Molecular Biology(all)
  • History and Philosophy of Science

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