On cubic elliptic varieties

Luca Ugaglia, Andrea Luigi Tironi, Antonio Laface, Jürgen Hausen

Risultato della ricerca: Articlepeer review

2 Citazioni (Scopus)

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.
Lingua originaleEnglish
pagine (da-a)689-708
Numero di pagine20
RivistaTransactions of the American Mathematical Society
Volume368
Stato di pubblicazionePublished - 2016

All Science Journal Classification (ASJC) codes

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  • ???subjectarea.asjc.2600.2604???

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