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Elliptic K3 surfaces as dynamical models and their Hamiltonian monodromy

Daisuke Tarama (2012)

Open Mathematics

This note deals with Lagrangian fibrations of elliptic K3 surfaces and the associated Hamiltonian monodromy. The fibration is constructed through the Weierstraß normal form of elliptic surfaces. There is given an example of K3 dynamical models with the identity monodromy matrix around 12 elementary singular loci.

Elliptic sufaces with a nef line bundle of genus two.

Antonio Lanteri, Cristina Turrini (1998)

Collectanea Mathematica

Complex projective elliptic surfaces endowed with a numerically effective line bundle of arithmetic genus two are studied and partially classified. A key role is played by elliptic quasi-bundles, where some ideas developed by Serrano in order to study ample line bundles apply to this more general situation.

Elliptic surfaces with four singular fibres.

Stephan Herfurtner (1991)

Mathematische Annalen

Étude des fibrations elliptiques d’une surface $K 3$

Titem Harrache, Odile Lecacheux (2011)

Journal de Théorie des Nombres de Bordeaux

On s’intéresse aux fibrations elliptiques d’une surface $K 3$ singulière en vue de construire des courbes elliptiques avec $7 -$ torsion et rang $> 0$ sur $ℚ$ .

Extremal rational elliptic surfaces in characteristic p. I. Beauville surfaces.

William E. Lang (1991)

Mathematische Zeitschrift