Patrick Graf

activity

20122023

most citedAlgebraic approximation of Kähler threefolds of Kodaira dimension zero

16 citations · 104 across the 22 of their papers we have counts for

collaborators

Showing 2019Show all

3 papers · 1 filter

math.AG2019

A note on Flenner's extension theorem

Patrick Graf

We show that any $p$ -form on the smooth locus of a normal complex space extends to a resolution of singularities, possibly with logarithmic poles, as long as $p \le \mathrm{codim}_…

math.AG2019★ 11 cited

Differential forms on log canonical spaces in positive characteristic

Patrick Graf

Given a logarithmic $1$ -form on the snc locus of a log canonical surface pair $(X, D)$ over a perfect field of characteristic $p \geq 7$ , we show that it extends with at worst logar…

math.AG2019★ 2 cited

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…