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Hirzebruch surfaces

Diarmuid Crowley and Matthias Kreck


We recall the construction and elementary properties of the smooth manifolds now called Hirzebruch surfaces: In a 1951 publication Hirzebruch showed that these manifolds admit infinitely many pairwise non-holomorphic complex structures.


smooth manifold, complex manifold

Mathematical Subject Classification 2010

Primary: 57R15


Received: 9th November 2010
Accepted: 22nd December 2010
Published: 1st May 2011
Editor: Mina Teicher