Polyhedral Divisors, Dedekind Domains and Algebraic Function Fields

Kevin Langlois (1)

1 IF - Institut Fourier

In this paper, we show that the presentation of affine $\mathbb{T}$-varieties of complexity one in terms of polyhedral divisors holds over an arbitrary field. We describe also a class of multigraded algebras over Dedekind domains.

Mots clés: algebraic torus; polyhedral divisor; affine variety

Domaines: Géométrie algébrique [math.AG]

Kevin Langlois. Polyhedral Divisors, Dedekind Domains and Algebraic Function Fields. 2012. ⟨hal-00713400v2⟩