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arxiv: 0906.3107 · v2 · submitted 2009-06-17 · 🧮 math.GT · math.AG

An infinite family of exotic Dolgachev surfaces without 1- and 3- handles

classification 🧮 math.GT math.AG
keywords dolgachevexoticfamilyhandlesinfinitesurfacewithoutadmits
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Starting with the Dolgachev surface E(1)_{2,3} we construct an infinite family of distinct exotic copies of the rational surface E(1), each of which admits a handlebody decomposition without 1- and 3- handles, and we draw these handlebodies.

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