34 citations · 150 across the 29 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…
Zariski's conjecture and Euler-Chow series
Xi Chen, E. javier Elizondo
We study the relations between the finite generation of Cox ring, the rationality of Euler-Chow series and Poincaré series and Zariski's conjecture on dimensions of linear systems.…
Detection of Hermitian connections in wave equations with cubic non-linearity
Xi Chen, Matti Lassas, Lauri Oksanen +1
We consider the geometric non-linear inverse problem of recovering a Hermitian connection from the source-to-solution map of the cubic wave equation , wh…