Home > Research > Publications & Outputs > Constructing local models for Lagrangian torus ...

Electronic data

  • em

    Accepted author manuscript, 853 KB, PDF document

    Available under license: Unspecified

Links

Text available via DOI:

View graph of relations

Constructing local models for Lagrangian torus fibrations

Research output: Contribution to journalJournal articlepeer-review

Published
<mark>Journal publication date</mark>30/01/2021
<mark>Journal</mark>Annales Henri Lebesgue
Volume4
Number of pages34
Pages (from-to)537-570
Publication StatusPublished
<mark>Original language</mark>English

Abstract

We give a construction of Lagrangian torus fibrations with controlled discriminant locus on certain affine varieties. In particular, we apply our construction in the following ways: > We find a Lagrangian torus fibration on the 3-fold negative vertex whose discriminant locus has codimension 2; this provides a local model for finding torus fibrations on compact Calabi–Yau 3-folds with codimension 2 discriminant locus. > We find a Lagrangian torus fibration on a neighbourhood of the one-dimensional stratum of a simple normal crossing divisor (satisfying certain conditions) such that the base of the fibration is an open subset of the cone over the dual complex of the divisor. This can be used to construct an analogue of the non-archimedean SYZ fibration constructed by Nicaise, Xu and Yu.