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math.AG2003★ 5 cited
Polyhedral Divisors and Algebraic Torus Actions
Klaus Altmann, Juergen Hausen
We provide a complete description of normal affine varieties with effective algebraic torus action in terms of what we call proper polyhedral divisors on semiprojective varieties.…
math.AG2000
The chain property for the associated primes of A-graded ideals
Klaus Altmann
We investigate how the chain property for the associated primes of monomial degenerations of toric (or lattice) ideals can be generalized to arbitrary A-graded ideals. The generali…
math.AG1999
The polyhedral Hodge number h^21 and vanishing of obstructions
Klaus Altmann, Duco van Straten
We prove a vanishing theorem for the Hodge number h^21 of projective toric varieties provided by a certain class of polytopes. We explain how this Hodge number also gives informati…