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K3 Surfaces of zero entropy admitting an elliptic fibration with only irreducible fibers

Publikation: Beitrag in Fachzeitschrift › Artikel › Forschung › Peer-Review

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  • Giacomo Mezzedimi

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OriginalspracheEnglisch
Seiten (von - bis)344-389
Seitenumfang46
FachzeitschriftJournal of Algebra
Jahrgang587
Frühes Online-Datum19 Aug. 2021
PublikationsstatusVeröffentlicht - 1 Dez. 2021

Abstract

We classify complex K3 surfaces of zero entropy admitting an elliptic fibration with only irreducible fibers. These surfaces are characterized by the fact that they admit a unique elliptic fibration with infinite automorphism group. We furnish an explicit list of 32 Néron-Severi lattices corresponding to such surfaces. Incidentally, we are able to decide which of these 32 classes of surfaces admit a unique elliptic pencil. Finally, we prove that all K3 surfaces with Picard rank ≥19 and infinite automorphism group have positive entropy.

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K3 Surfaces of zero entropy admitting an elliptic fibration with only irreducible fibers. / Mezzedimi, Giacomo.
in: Journal of Algebra, Jahrgang 587, 01.12.2021, S. 344-389.

Publikation: Beitrag in Fachzeitschrift › Artikel › Forschung › Peer-Review

Mezzedimi G. K3 Surfaces of zero entropy admitting an elliptic fibration with only irreducible fibers. Journal of Algebra. 2021 Dez 1;587:344-389. Epub 2021 Aug 19. doi: 10.1016/j.jalgebra.2021.08.005
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