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arxiv: 1010.3904 · v4 · pith:RKMVEJP5new · submitted 2010-10-19 · 🧮 math.AG

Elliptic fibrations on K3 surfaces

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keywords ellipticfibrationsgroupalgebraicalgebraicallyautomorphismcloseddimensional
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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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