48 citations · 285 across the 17 of their papers we have counts for
17 papers
Codimension and Projective Dimension up to Symmetry
Dinh Van Le, Uwe Nagel, Hop D. Nguyen +1
Symmetric ideals in increasingly larger polynomial rings that form an ascending chain are investigated. We focus on the asymptotic behavior of codimensions and projective dimension…
Castelnuovo-Mumford regularity up to symmetry
Dinh Van Le, Uwe Nagel, Hop D. Nguyen +1
We study the asymptotic behavior of the Castelnuovo-Mumford regularity along chains of graded ideals in increasingly larger polynomial rings that are invariant under the action of…
Gröbner bases and Betti numbers of monoidal complexes
Winfried Bruns, Robert Koch, Tim Roemer
In this note we consider monoidal complexes and their associated algebras, called toric face rings. These rings generalize Stanley-Reisner rings and affine monoid algebras. We comp…
Generic initial ideals and fibre products
Aldo Conca, Tim Roemer
We study the behavior of generic initial ideals with respect to fibre products. In our main result we determine the generic initial ideal of the fibre product with respect to the r…
Glicci simplicial complexes
Uwe Nagel, Tim Roemer
One of the main open questions in liaison theory is whether every homogeneous Cohen-Macaulay ideal in a polynomial ring is glicci, i.e. if it is in the G-liaison class of a complet…
Betti numbers and shifts in minimal graded free resolutions
Tim Roemer
Let S be a polynomial ring and R=S/I where I is a graded ideal of S. The Multiplicity Conjecture of Herzog, Huneke, and Srinivasan which was recently proved using the Boij-Soederbe…