Hirzebruch surfaces in a one-parameter family
Symplectic Geometry
2020-01-08 v2 Algebraic Geometry
Complex Variables
Abstract
We introduce a family of spaces, parametrized by positive real numbers, that includes all of the Hirzebruch surfaces. Each space is viewed from two distinct perspectives. First, as a leaf space of a compact, complex, foliated manifold, following [BZ1]. Second, as a symplectic cut of the manifold in a possibly nonrational direction, following [BP2].
Cite
@article{arxiv.1804.08503,
title = {Hirzebruch surfaces in a one-parameter family},
author = {Fiammetta Battaglia and Elisa Prato and Dan Zaffran},
journal= {arXiv preprint arXiv:1804.08503},
year = {2020}
}
Comments
15 pages, 10 figures, final version, to appear in Boll. Unione Mat. Ital