JournalscmhVol. 87, No. 1pp. 187–241

The Dolgachev surface

  • Selman Akbulut

    Michigan State University, East Lansing, USA
The Dolgachev surface cover
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Abstract

We prove that the Dolgachev surface E(1)2,3E(1)_{2,3} admits a handlebody decomposition without 1- and 3-handles, and we draw the explicit picture of this handlebody. We also locate a “cork” inside of E(1)2,3E(1)_{2,3}, so that E(1)2,3E(1)_{2,3} is obtained from E(1)E(1) by twisting along this cork.

Cite this article

Selman Akbulut, The Dolgachev surface. Comment. Math. Helv. 87 (2012), no. 1, pp. 187–241

DOI 10.4171/CMH/252