6 citations · 17 across the 6 of their papers we have counts for
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math.AG2003★ 6 cited
Cox rings and combinatorics
Florian Berchtold, Juergen Hausen
For a variety with a finitely generated total coordinate ring, we describe basic geometric properties in terms of certain combinatorial structures living in its divisor class group…
math.AG2003★ 4 cited
Bunches of cones in the divisor class group -- A new combinatorial language for toric varieties
Florian Berchtold, Juergen Hausen
As an alternative to the description of a toric variety by a fan in the lattice of one parameter subgroups, we present a new language in terms of what we call bunches -- these are…