Hirzebruch surfaces in a one-parameter family

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].

15 pages, 10 figures, final version, to appear in Boll. Unione Mat. Ital

References in corpus (1)

• Nonrational Symplectic Toric Reduction

Cited by in corpus (3)

• Branes wrapped on orbifolds and their gravitational blocks
• Nonrational Symplectic Toric Reduction
• Generalized Laurent monomials in nonrational toric geometry