58 citations · 399 across the 82 of their papers we have counts for
4 papers · 2 filters
Algorithms for strongly stable ideals
Dennis Moore, Uwe Nagel
Strongly stable monomial ideals are important in algebraic geometry, commutative algebra, and combinatorics. Prompted, for example, by combinatorial approaches for studying Hilbert…
Criteria for componentwise linearity
Uwe Nagel, Tim Roemer
We establish characteristic-free criteria for the componentwise linearity of graded ideals. As applications, we classify the componentwise linear ideals among the Gorenstein ideals…
Gorenstein algebras presented by quadrics
Juan Migliore, Uwe Nagel
We establish restrictions on the Hilbert function of standard graded Gorenstein algebras with only quadratic relations. Furthermore, we pose some intriguing conjectures and provide…
Enumerations deciding the weak Lefschetz property
David Cook, Uwe Nagel
We introduce a natural correspondence between artinian monomial almost complete intersections in three variables and punctured hexagonal regions. We use this correspondence to inve…