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. Second, as a symplectic cut of the manifold ℂ×S^2 in a possibly nonrational direction.
Hirzebruch surfaces in a one-parameter family / Fiammetta Battaglia, Elisa Prato, Dan Zaffran. - In: BOLLETTINO DELLA UNIONE MATEMATICA ITALIANA. - ISSN 1972-6724. - STAMPA. - 12:(2019), pp. 293-305. [10.1007/s40574-018-0181-1]
Hirzebruch surfaces in a one-parameter family
Fiammetta Battaglia
Membro del Collaboration Group
;Elisa PratoMembro del Collaboration Group
;
2019
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. Second, as a symplectic cut of the manifold ℂ×S^2 in a possibly nonrational direction.
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