The Dolgachev Surface
arXiv:0805.1524
Abstract
We prove that the Dolgachev surface E(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)_{2,3}, so that E(1)_{2,3} is obtained from E(1) by twisting along this cork.
52 pages 46 figures. A new theorem about the cork structure of the Dolgachev surface is added