31 citations · 84 across the 26 of their papers we have counts for
32 papers
Symmetric Differentials on K3 Surfaces
Frank Gounelas, Christian Liedtke
We prove that a K3 surface over an algebraically closed field admits a nonzero global symmetric differential of positive degree if and only if the characteristic is , and it i…
Non-commutative resolutions of linearly reductive quotient singularities
Christian Liedtke, Takehiko Yasuda
We prove existence of non-commutative crepant resolutions (in the sense of van den Bergh) of quotient singularities by finite and linearly reductive group schemes in positive chara…
A McKay Correspondence in Positive Characteristic
Christian Liedtke
We establish a McKay correspondence for finite and linearly reductive subgroup schemes of in positive characteristic. As an application, we obtain a McKay correspon…
Torsors over the Rational Double Points in Characteristic
Christian Liedtke, Gebhard Martin, Yuya Matsumoto
We study torsors under finite group schemes over the punctured spectrum of a singularity in positive characteristic. We show that the Dieudonné module of the (loc,loc)-par…
Linearly Reductive Quotient Singularities
Christian Liedtke, Gebhard Martin, Yuya Matsumoto
We study isolated quotient singularities by finite and linearly reductive group schemes (lrq singularities for short) and show that they satisfy many, but not all, of the known pro…
Rational curves on lattice-polarised K3 surfaces
Xi Chen, Frank Gounelas, Christian Liedtke
Fix a K3 lattice of rank two and a big and nef divisor that is positive enough. We prove that the generic -polarised K3 surface has an integral nodal rational curve…