22 citations · 22 across the 1 of their papers we have counts for
3 papers
math.AG2014★ 22 cited
On terminal Fano 3-folds with 2-torus action
Benjamin Bechtold, Elaine Huggenberger, Juergen Hausen +1
We classify the terminal Fano threefolds of Picard number one that come with an effective action of a two-torus. Our approach applies also to higher dimensions and generalizes the…
math.AG2013
Valuative and geometric characterizations of Cox sheaves
Benjamin Bechtold
We give an intrinsic characterization of Cox sheaves on Krull schemes in terms of their valuative algebraic properties. We also provide a geometric characterization of their graded…
math.AG2012
Factorially graded rings and Cox rings
Benjamin Bechtold
Cox rings of normal varieties are factorially graded, i.e. homogeneous elements allow a unique decomposition into homogeneous factors. We study this property from an algebraic poin…