Data di Pubblicazione:
2019
Citazione:
Linear systems on rational elliptic surfaces and elliptic fibrations on K3 surfaces / A. Garbagnati, C. Salgado. - In: JOURNAL OF PURE AND APPLIED ALGEBRA. - ISSN 0022-4049. - 223:1(2019 Jan), pp. 277-300. [10.1016/j.jpaa.2018.03.010]
Abstract:
We consider K3 surfaces which are double covers of rational elliptic surfaces. The former are endowed with a natural elliptic fibration, which is induced by the latter. There are also other elliptic fibrations on such K3 surfaces, which are necessarily induced by special linear systems on the rational elliptic surfaces. We describe these linear systems. In particular, we observe that every conic bundle on the rational surface induces a genus 1 fibration on the K3 surface and we classify the singular fibers of the genus 1 fibration on the K3 surface it terms of singular fibers and special curves on the conic bundle on the rational surface.
Tipologia IRIS:
01 - Articolo su periodico
Keywords:
elliptic fibrations; K3 surfaces; rational elliptic surfaces; conic bundles; automorphisms
Elenco autori:
A. Garbagnati, C. Salgado
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