38 citations · 160 across the 19 of their papers we have counts for
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math.AC2019
Depth functions of symbolic powers of homogeneous ideals
Hop Dang Nguyen, Ngo Viet Trung
This paper addresses the problem of comparing minimal free resolutions of symbolic powers of an ideal. Our investigation is focused on the behavior of the function depth R/I^(t) =…
math.AC2019★ 14 cited
Depth functions of powers of homogeneous ideals
Huy Tai Ha, Hop Dang Nguyen, Ngo Viet Trung +1
We settle a conjecture of Herzog and Hibi, which states that the function depth , , where is a homogeneous ideal in a polynomial ring , can be any convergent…
math.AC2019★ 15 cited
Regularity and Koszul property of symbolic powers of monomial ideals
Le Xuan Dung, Truong Thi Hien, Hop D. Nguyen +1
Let be a homogeneous ideal in a polynomial ring over a field. Let be the -th symbolic power of . Motivated by results about ordinary powers of , we study the…