Hilbert-Kunz Multiplicity of Two-Dimensional Local Rings
2001 ◽
Vol 162
◽
pp. 87-110
◽
We study the behavior of Hilbert-Kunz multiplicity for powers of an ideal, especially the case of stable ideals and ideals in local rings of dimension 2. We can characterize regular local rings by certain equality between Hilbert-Kunz multiplicity and usual multiplicity.We show that rings with “minimal” Hilbert-Kunz multiplicity relative to usual multiplicity are “Veronese subrings” in dimension 2.
1995 ◽
Vol 23
(8)
◽
pp. 3127-3143
◽
2003 ◽
Vol 10
(4)
◽
pp. 423-434
◽
Keyword(s):
1997 ◽
Vol 25
(5)
◽
pp. 1563-1572
◽
2020 ◽
Vol 144
◽
pp. 281-288
2012 ◽
Vol 40
(1)
◽
pp. 42-57
◽