129 citations · 329 across the 58 of their papers we have counts for
3 papers · 2 filters
On cubic elliptic varieties
Juergen Hausen, Antonio Laface, Andrea Luigi Tironi +1
Let X->P^(n-1) be an elliptic fibration obtained by resolving the indeterminacy of the projection of a cubic hypersurface Y of P^(n+1) from a line L not contained in Y. We prove th…
Computing Cox rings
Juergen Hausen, Simon Keicher, Antonio Laface
We consider modifications, for example blow ups, of Mori dream spaces and provide algorithms for investigating the effect on the Cox ring, e.g. testing finite generation or computi…
Cox rings of extremal rational elliptic surfaces
Michela Artebani, Alice Garbagnati, Antonio Laface
In this paper we determine a minimal set of generators for the Cox rings of extremal rational elliptic surfaces. Moreover, we develop a technique for computing the ideal of relatio…