scholarly journals Integrally closed ideals on log terminal surfaces are multiplier ideals

2009 ◽  
Vol 16 (5) ◽  
pp. 903-908 ◽  
Author(s):  
Kevin Tucker
Keyword(s):  
Multiplier Ideals ◽  
Integrally Closed ◽  
Integrally Closed Ideals

scholarly journals On the Ideal Case of a Conjecture of Huneke and Wiegand

2019 ◽  
Vol 62 (3) ◽  
pp. 847-859 ◽  
Author(s):  
Olgur Celikbas ◽  
Shiro Goto ◽  
Ryo Takahashi ◽  
Naoki Taniguchi
Keyword(s):  
Free Module ◽  
Affirmative Answer ◽  
Noetherian Rings ◽  
Ideal Case ◽  
One Dimensional ◽  
Higher Dimensional ◽  
Integrally Closed ◽  
Integrally Closed Ideals ◽  
Torsion Free ◽  
The Ideal

AbstractA conjecture of Huneke and Wiegand claims that, over one-dimensional commutative Noetherian local domains, the tensor product of a finitely generated, non-free, torsion-free module with its algebraic dual always has torsion. Building on a beautiful result of Corso, Huneke, Katz and Vasconcelos, we prove that the conjecture is affirmative for a large class of ideals over arbitrary one-dimensional local domains. Furthermore, we study a higher-dimensional analogue of the conjecture for integrally closed ideals over Noetherian rings that are not necessarily local. We also consider a related question on the conjecture and give an affirmative answer for first syzygies of maximal Cohen–Macaulay modules.

scholarly journals Birational extensions in dimension two and integrally closed ideals

1988 ◽  
Vol 115 (2) ◽  
pp. 481-500 ◽  
Author(s):  
Craig Huneke ◽  
Judith D Sally
Keyword(s):  
Integrally Closed ◽  
Integrally Closed Ideals
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