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Tropical and non-Archimedean limits of degenerating families of volume forms by Boucksom, Sébastien; Jonsson, Mattias is a scholarly article available to read on EtoBox.

What is Tropical and non-Archimedean limits of degenerating families of volume forms about?

We study the asymptotic behavior of volume forms on a degenerating family of compact complex manifolds. Under rather general conditions, we prove that the volume forms converge in a natural sense to a Lebesgue-type measure on a certain simplicial complex. In particular, this provides a measure-theoretic version of a conjecture by Kontsevich--Soibelman and Gross--Wilson, bearing on maximal degenerations of Calabi--Yau manifolds.

Author

Boucksom, Sébastien; Jonsson, Mattias

Published

2016

Language

EN