On cubic elliptic varieties
- Autori: Hausen, J.; Laface, A.; Tironi, A.; Ugaglia, L.
- Anno di pubblicazione: 2016
- Tipologia: Articolo in rivista (Articolo in rivista)
- OA Link: http://hdl.handle.net/10447/200793
Abstract
Let π: X → ℙn−1 be an elliptic fibration obtained by resolving the indeterminacy of the projection of a cubic hypersurface Y of ℙn+1 from a line L not contained in Y . We prove that the Mordell-Weil group of π is finite if and only if the Cox ring of X is finitely generated. We also provide a presentation of the Cox ring of X when it is finitely generated.