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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.

Equations defining reducible Kummer surfaces in ℙ⁵

Tomasz Szemberg (1996)

Annales Polonici Mathematici

Principally polarized abelian surfaces are the Jacobians of smooth genus 2 curves or of stable genus 2 curves of special type. In [S] we studied equations describing Kummer surfaces in the case of an irreducible principal polarization on the abelian surface. The aim of this note is to give a treatment of the second case. We describe intermediate Kummer surfaces coming from abelian surfaces carrying a product principal polarization. In Proposition 12 we give explicit equations of these surfaces in...

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