English

Compactifying torus fibrations over integral affine manifolds with singularities

Algebraic Geometry 2020-03-20 v1 Differential Geometry Symplectic Geometry

Abstract

This is an announcement of the following construction: given an integral affine manifold BB with singularities, we build a topological space XX which is a torus fibration over BB. The main new feature of the fibration XBX\to B is that it has the discriminant in codimension 2.

Keywords

Cite

@article{arxiv.2003.08521,
  title  = {Compactifying torus fibrations over integral affine manifolds with singularities},
  author = {Helge Ruddat and Ilia Zharkov},
  journal= {arXiv preprint arXiv:2003.08521},
  year   = {2020}
}

Comments

13 pages, 4 figures, questions and suggestions are welcome!

R2 v1 2026-06-23T14:19:27.587Z