Wyniki wyszukiwania

Sortuj według:

Ogranicz wyniki do:

Automorphism groups of rational elliptic surfaces with section and constant J-map

100%

Karayayla T.

Open Mathematics

2014

tom 12

nr 12

1772-1795

In this paper, the automorphism groups of relatively minimal rational elliptic surfaces with section which have constant J-maps are classified. The ground field is ℂ. The automorphism group of such a surface β: B → ℙ1, denoted by Au t(B), consists of all biholomorphic maps on the complex manifold B. The group Au t(B) is isomorphic to the semi-direct product MW(B) ⋊ Aut σ (B) of the Mordell-Weil groupMW(B) (the group of sections of B), and the subgroup Aut σ (B) of the automorphisms preserving a fixed section σ of B which is called the zero section on B. The Mordell-Weil group MW(B) is determined by the configuration of singular fibers on the elliptic surface B due to Oguiso and Shioda [9]. In this work, the subgroup Aut σ (B) is determined with respect to the configuration of singular fibers of B. Together with a previous paper [4] where the case with non-constant J-maps was considered, this completes the classification of automorphism groups of relatively minimal rational elliptic surfaces with section.

Elliptic K3 surfaces as dynamical models and their Hamiltonian monodromy

84%

Tarama D.

Open Mathematics

2012

tom 10

nr 5

1619-1626

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.

Ograniczanie wyników

2 Open Mathematics

1 Karayayla T.

1 Tarama D.

1 2014

1 2012

Wyniki wyszukiwania

Automorphism groups of rational elliptic surfaces with section and constant J-map

Elliptic K3 surfaces as dynamical models and their Hamiltonian monodromy