44 citations · 315 across the 37 of their papers we have counts for
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math.AG2008★ 3 cited
AG Codes from Polyhedral Divisors
Nathan Ilten, Hendrik Süß
A description of complete normal varieties with lower dimensional torus action has been given by Altmann, Hausen, and Suess, generalizing the theory of toric varieties. Considering…
math.AG2008★ 3 cited
Calculating Milnor Numbers and Versal Component Dimensions from P-Resolution Fans
Nathan Owen Ilten
We use Altmann's toric fan description of P-resolutions to formulate a new description of deformation theory invariants for two-dimensional cyclic quotient singularities. In partic…
math.AG2008★ 7 cited
One-Parameter Toric Deformations of Cyclic Quotient Singularities
Nathan Ilten
In the case of two-dimensional cyclic quotient singularities, we classify all one-parameter toric deformations in terms of certain Minkowski decompositions. In particular, we descr…