Hannah Bergner

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20152019

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math.AG2019

The Lipman-Zariski conjecture in genus one higher

Hannah Bergner, Patrick Graf

We prove the Lipman-Zariski conjecture for complex surface singularities with $p_{g} - g - b \leq 2$ . Here $p_{g}$ is the geometric genus, $g$ is the sum of the genera of the exceptiona…

math.AG2017

On the Lipman-Zariski conjecture for logarithmic vector fields on log canonical pairs

Hannah Bergner

We consider a version of the Lipman-Zariski conjecture for logarithmic vector fields and logarithmic $1$ -forms on pairs. Let $(X, D)$ be a pair consisting of a normal complex variet…