3 citations · 10 across the 12 of their papers we have counts for
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Ideals generated by -fold products of linear forms have linear graded free resolution
Ricardo Burity, Ştefan O. Tohǎneanu, Yu Xie
Given , where is a field of characteristic 0, any finite collection of linear forms, some possibly proportional, and any $1\leq a…
On the Geramita-Harbourne-Migliore conjecture
Stefan Tohaneanu, Yu Xie
Let be a finite collection of linear forms in , where is a field. Denote to be the set of all nonproportional elements of…
On the containment problem for fat points ideals
Stefan Tohaneanu, Yu Xie
In this note we show that Harbourne's conjecture is true for symbolic powers of ideals of points, we check that the stable version of this conjecture is valid for ideals of very ge…
Chudnovsky's Conjecture for very general points in
Louiza Fouli, Paolo Mantero, Yu Xie
We prove a long-standing conjecture of Chudnovsky for very general and generic points in , where is an algebraically closed field of characteristic zero, and fo…
Generalized stretched ideals and Sally Conjecture
Paolo Mantero, Yu Xie
We introduce the concept of -stretched ideals in a Noetherian local ring. This notion generalizes to arbitrary ideals the classical notion of stretched -primary id…
Generalized Hilbert coefficients and Northcott's inequality
Yu Xie
Let be a Cohen-Macaulay local ring of dimension with infinite residue field. Let be an -ideal that has analytic spread , condition and the Artin-Nag…