The Dolgachev Surface
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.
- Publication:
-
arXiv e-prints
- Pub Date:
- May 2008
- DOI:
- 10.48550/arXiv.0805.1524
- arXiv:
- arXiv:0805.1524
- Bibcode:
- 2008arXiv0805.1524A
- Keywords:
-
- Mathematics - Geometric Topology;
- Mathematics - Algebraic Geometry;
- 58D27;
- 58A05;
- 57R65
- E-Print:
- 52 pages 46 figures. A new theorem about the cork structure of the Dolgachev surface is added