scholarly journals On finite generation of Noetherian algebras over two-dimensional regular local rings

2020 ◽  
Vol 560 ◽  
pp. 241-265
Author(s):  
Amartya Kumar Dutta ◽  
Neena Gupta ◽  
Nobuharu Onoda
Keyword(s):  
Local Rings ◽  
Two Dimensional ◽  
Finite Generation ◽  
Regular Local Rings

Saturation for valuations on two-dimensional regular local rings

2000 ◽  
Vol 234 (3) ◽  
pp. 519-550 ◽  
Author(s):  
Félix Delgado ◽  
Carlos Galindo ◽  
Ana Núnez
Keyword(s):  
Local Rings ◽  
Two Dimensional ◽  
Regular Local Rings

scholarly journals Hilbert-Kunz Multiplicity of Two-Dimensional Local Rings

2001 ◽  
Vol 162 ◽  
pp. 87-110 ◽  
Author(s):  
Kei-Ichi Watanabe ◽  
Ken-Ichi Yoshida
Keyword(s):  
Local Rings ◽  
Two Dimensional ◽  
Dimension 2 ◽  
Regular Local Rings

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.

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