Abstract
We explore the question of when the Rees algebra of is an almost Gorenstein graded ring, where is a 2-dimensional regular local ring and is a contracted ideal of . Recently, we showed that is an almost Gorenstein graded ring for every integrally closed ideal of . The main results of the present article show that if is a contracted ideal with , then is an almost Gorenstein graded ring, while if , then is not necessarily an almost Gorenstein graded ring, even though is a contracted stable ideal. Thus both affirmative and negative answers are given.
Citation
Shiro Goto. Naoyuki Matsuoka. Naoki Taniguchi. Ken-ichi Yoshida. "On the almost Gorenstein property in the Rees algebras of contracted ideals." Kyoto J. Math. 59 (4) 769 - 785, December 2019. https://doi.org/10.1215/21562261-2018-0001
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