title: Calabi-Yau manifolds and their degenerations.
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.
authors.affiliation: Department of Mathematics, Columbia University, New York, New York, USA. tosatti@math.columbia.edu
authors.forename: Valentino
authors.initials: V
authors.lastname: Tosatti