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arXiv · 1804.08503

Hirzebruch surfaces in a one-parameter family

Fiammetta Battaglia·Elisa Prato·Dan Zaffran
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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 $\mathbb{C}\times S^2$ in a possibly nonrational direction, following [BP2].

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Fiammetta Battaglia, Elisa Prato, Dan Zaffran. 2018-04-23. Hirzebruch surfaces in a one-parameter family. https://doi.org/10.1007/s40574-018-0181-1

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