TY - JOUR
T1 - ON THE WALDSCHMIDT CONSTANT OF SQUARE-FREE PRINCIPAL BOREL IDEALS
AU - Moreno, Eduardo Camps
AU - Kohne, Craig
AU - Sarmiento, Eliseo
AU - Van Tuyl, Adam
N1 - Publisher Copyright:
© 2022 American Mathematical Society.
PY - 2022/10/1
Y1 - 2022/10/1
N2 - Fix a square-free monomial m ∈ S = T[x1,..., xn]. The square-free principal Borel ideal generated by m, denoted sfBorel(m), is the ideal generated by all the square-free monomials that can be obtained via Borel moves from the monomial m. We give upper and lower bounds for the Waldschmidt constant of sfBorel(m) in terms of the support of m, and in some cases, exact values. For any rational a/b ≥ 1, we show that there exists a square-free principal Borel ideal with Waldschmidt constant equal to a/b.
AB - Fix a square-free monomial m ∈ S = T[x1,..., xn]. The square-free principal Borel ideal generated by m, denoted sfBorel(m), is the ideal generated by all the square-free monomials that can be obtained via Borel moves from the monomial m. We give upper and lower bounds for the Waldschmidt constant of sfBorel(m) in terms of the support of m, and in some cases, exact values. For any rational a/b ≥ 1, we show that there exists a square-free principal Borel ideal with Waldschmidt constant equal to a/b.
UR - http://www.scopus.com/inward/record.url?scp=85137131329&partnerID=8YFLogxK
U2 - 10.1090/proc/16082
DO - 10.1090/proc/16082
M3 - Artículo
AN - SCOPUS:85137131329
SN - 0002-9939
VL - 150
SP - 4145
EP - 4157
JO - Proceedings of the American Mathematical Society
JF - Proceedings of the American Mathematical Society
IS - 10
ER -