Elliptic fibrations on K3 surfaces

Details Elliptic fibrations on K3 surfaces Elliptic fibrations on K3 surfaces

2010-10-19

arxiv.org/abs/1010.3904v4

Mathematics

Algebraic Geometry

Var2: 19 pages. We added a description of K3 surfaces with finite number of non-singular rational curves, finite number of Enr

Scientific paper

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.

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