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A simple proof for the existence of Zariski decompositions on surfaces
Thomas Bauer
In this note we give a quick and simple proof of the existence (and uniqueness) of Zariski decompositions on surfaces. While Zariski's original proof employs a rather sophisticated…
math.AG2007
A criterion for an abelian variety to be simple
Thomas Bauer
In this note we give a numerical criterion that expresses the condition that an abelian variety be simple in terms of an invariant that is closely related to the s-invariant of Ein…