The Dolgachev Surface
classification
🧮 math.GT
math.AG
keywords
corkdolgachevhandlebodysurfaceadmitsalongdecompositiondraw
read the original 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.
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