5 papers
A sublinear bound for the regularity of subspace arrangements
Xin Hong, Yi-Song Huang, Manolis Tsakiris
Let be the union of generic linear spaces in $\PP^n$ of codimension at least . We prove that the Castelnuovo-Mumford regularity of the vanishing ideal of grows in or…
On the Castelnuovo-Mumford regularity of subspace arrangements
Aldo Conca, Manolis C. Tsakiris
Let be the union of generic linear subspaces of codimension in . Improving an earlier bound due to Derksen and Sidman, we prove that the Castelnuovo-Mumf…
Ãtale and Quasicoherent Cohomological Dimensions of Subspace Arrangements
Manolis C. Tsakiris, Matteo Varbaro
We report some work in progress on the relationship between étale and quasicoherent cohomological dimensions.
The Determinantal Matroid
Lisa Nicklasson, Manolis C. Tsakiris
We study the algebraic matroid induced by the ideal of (r+1)-minors of a matrix of variables over a field. This is inherently connected to the bounded-rank matrix completion proble…
Cross-Channel Unlabeled Sensing over a Union of Signal Subspaces
Taulant Koka, Manolis C. Tsakiris, BenjamÃn Béjar Haro +1
Cross-channel unlabeled sensing addresses the problem of recovering a multi-channel signal from measurements that were shuffled across channels. This work expands the cross-channel…