Calabi-Yau manifolds and their degenerations

Valentino Tosatti

doi:10.1111/j.1749-6632.2011.06259.x

Calabi-Yau manifolds and their degenerations

Valentino Tosatti

Mathematics

Research output: Contribution to journal › Article › peer-review

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 language	English (US)
Pages (from-to)	8-13
Number of pages	6
Journal	Annals of the New York Academy of Sciences
Volume	1260
Issue number	1
DOIs	https://doi.org/10.1111/j.1749-6632.2011.06259.x
State	Published - Jul 2012

Keywords

Calabi-Yau manifolds
Degenerations of manifolds
Kähler metrics
Ricci curvature

ASJC Scopus subject areas

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

Access to Document

10.1111/j.1749-6632.2011.06259.x

Cite this

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Calabi-Yau manifolds and their degenerations

Abstract

Keywords

ASJC Scopus subject areas

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