Elliptic fibrations of some extremal K3 surfaces

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Details

OriginalspracheEnglisch
Seiten (von - bis)609-652
Seitenumfang44
FachzeitschriftRocky Mountain Journal of Mathematics
Jahrgang37
Ausgabenummer2
PublikationsstatusVeröffentlicht - 2007
Extern publiziertJa

Abstract

This paper is concerned with the construction of extremal elliptic K3 surfaces. It gives a complete treatment of those fibrations which can be derived from rational elliptic surfaces by easy manipulations of their Weierstrass equations. In particular, this approach enables us to find explicit equations for 38 semi-stable extremal elliptic K3 fibrations, 32 of which are indeed defined over Q. They are realized as pullback of non semi-stable extremal rational elliptic surfaces via base change. This is related to the work of J. Top and N. Yui which exhibited the same procedure for the semi-stable extremal rational elliptic surfaces.

Schlagwörter

    extremal K3 surfaces, Elliptic fibrations

ASJC Scopus Sachgebiete

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Elliptic fibrations of some extremal K3 surfaces. / Schütt, Matthias.
in: Rocky Mountain Journal of Mathematics, Jahrgang 37, Nr. 2, 2007, S. 609-652.

Publikation: Beitrag in FachzeitschriftArtikelForschungPeer-Review

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