31 citations · 84 across the 26 of their papers we have counts for
4 papers · 1 filter
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…
Curves on K3 surfaces
Xi Chen, Frank Gounelas, Christian Liedtke
We complete the remaining cases of the conjecture predicting existence of infinitely many rational curves on K3 surfaces in characteristic zero, prove almost all cases in positive…
p-adic Tate conjectures and abeloid varieties
Oliver Gregory, Christian Liedtke
We explore Tate-type conjectures over -adic fields. We study a conjecture of Raskind that predicts the surjectivity of $$ ({\rm NS}(X_{\bar{K}}) \otimes_{\mathbb{Z}}\mathbb{Q}_p…
Good reduction of K3 Surfaces in equicharacteristic p
Bruno Chiarellotto, Christopher Lazda, Christian Liedtke
We show that for smooth and proper varieties over local fields with no non-trivial vector fields, good reduction descends over purely inseparable extensions. We use this to extend…