33 citations · 60 across the 5 of their papers we have counts for
5 papers
Minkowski-Weyl theorem and Gordan's lemma up to symmetry
Dinh Van Le
We investigate equivariant analogues of the Minkowski--Weyl theorem and Gordan's lemma in an infinite-dimensional setting, where cones and monoids are invariant under the action of…
Asymptotic behavior of symmetric ideals: A brief survey
Martina Juhnke-Kubitzke, Dinh Van Le, Tim Römer
Recently, chains of increasing symmetric ideals have attracted considerable attention. In this note, we summarize some results and open problems concerning the asymptotic behavior…
A Kruskal-Katona type result and applications
Dinh Van Le, Tim Römer
Inspired by the Kruskal-Katona theorem a minimization problem is studied, where the role of the shadow is replaced by the image of the action of the monoid of increasing functions.…
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…