5 papers
A sharp bound for the resurgence of sums of ideals
Do Van Kien, Hop Dang Nguyen, Le Minh Thuan
We prove a sharp upper bound for the resurgence of sums of ideals involving disjoint sets of variables, strengthening work of Bisui--Hà--Jayanthan--Thomas. Complete solutions are d…
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…
Homological invariants of powers of fiber products
Hop D. Nguyen, Thanh Vu
Let and be polynomial rings of positive dimensions over a field . Let be non-zero homogeneous ideals none of which contains a linear form. D…
Products of ideals of linear forms in quadric hypersurfaces
Aldo Conca, Hop D. Nguyen, Thanh Vu
Conca and Herzog proved that any product of ideals of linear forms in a polynomial ring has a linear resolution. The goal of this paper is to establish the same result for any quad…