Hirzebruch surfaces in a one-parameter family

Autor: Battaglia, Fiammetta, Prato, Elisa, Zaffran, Dan
Rok vydání: 2018
Předmět:
Zdroj: Boll. Unione Mat. Ital. 12 (2019), 293-305
Druh dokumentu: Working Paper
DOI: 10.1007/s40574-018-0181-1
Popis: 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].
Comment: 15 pages, 10 figures, final version, to appear in Boll. Unione Mat. Ital
Databáze: arXiv