Elliptic fibrations on K3 surfaces
Algebraic Geometry
2014-01-27 v4
Abstract
This is mainly a review of my results related to the title. We discuss, how many elliptic fibrations and elliptic fibrations with infinite automorphism group (or the Mordell-Weil group) an algebraic K3 surface over an algebraically closed field can have. This was the subject of my talk at Oberwolfach Workshop "Higher dimensional elliptic fibrations" in October 2010.
Cite
@article{arxiv.1010.3904,
title = {Elliptic fibrations on K3 surfaces},
author = {Viacheslav V. Nikulin},
journal= {arXiv preprint arXiv:1010.3904},
year = {2014}
}
Comments
Var2: 19 pages. We added a description of K3 surfaces with finite number of non-singular rational curves, finite number of Enriques involutions, and with naturally arithmetic automorphism groups. Var3: The exposition polished. Var4: An important theorem is added at the end