Get 20M+ Full-Text Papers For Less Than $1.50/day. Start a 14-Day Trial for You or Your Team.

Learn More →

DeepDyve requires Javascript to function. Please enable Javascript on your browser to continue.

Annales Scientifiques de l École Normale Supérieure Volume 2020 Issue 1705

Subject Areas: Mathematics (miscellaneous)
ISSN: 0012-9593
SJR: 56

Open Access

Journal Article

Collapsing hyperk\"ahler manifolds

Tosatti, Valentino; Zhang, Yuguang

2017 Mathematical Physics

doi:10.24033/asens.2433

Abstract: Given a projective hyperkahler manifold with a holomorphic Lagrangian fibration, we prove that hyperkahler metrics with volume of the torus fibers shrinking to zero collapse in the Gromov-Hausdorff sense (and smoothly away from the singular fibers) to a compact metric space which is a...

results per page

Prev
1
Next