@article{d0bcbaef130e425a8aed51f1d474f91b,
title = "Rational curves on lattice-polarised K3 surfaces",
abstract = "Fix a K3 lattice Λ of rank 2 and a big and nef divisor L∈Λthat is suitably positive.We prove that the generic Λ-polarised K3 surface has an integral nodal rational curve in the linear system jLj, in particular strengthening previous work of the first-named author.",
keywords = "Degenerations of curves and surfaces., K3 surface, Lattice polarisation, Rational curve",
author = "Xi Chen and Frank Gounelas and Christian Liedtke",
note = "Publisher Copyright: {\textcopyright} Foundation Compositio Mathematica 2022. This article is distributed with Open Access under the terms of the Creative Commons Attribution Non-Commercial License, which permits non-commercial reuse, distribution, and reproduction in any medium, provided that the original work is properly cited. For commercial re-use, please contact the Foundation Compositio Mathematica.",
year = "2022",
month = jul,
doi = "10.14231/AG-2022-013",
language = "English",
volume = "9",
pages = "443--475",
journal = "Algebraic Geometry",
issn = "2313-1691",
publisher = "THE EMS PUBLISHING HOUSE",
number = "4",
}