On the almost Gorenstein property in the Rees algebras of contracted ideals

DOI10.1215/21562261-2018-0001zbMath1448.13047arXiv1604.04747OpenAlexW2337061007MaRDI QIDQ2175029

Naoki Taniguchi, Shiro Goto, Naoyuki Matsuoka, Ken-ichi Yoshida

Publication date: 27 April 2020

Published in: Kyoto Journal of Mathematics (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1604.04747

zbMATH Keywords

Rees algebracontracted idealalmost Gorenstein graded ringalmost Gorenstein local ring

Mathematics Subject Classification ID

Special types (Cohen-Macaulay, Gorenstein, Buchsbaum, etc.) (13H10) Multiplicity theory and related topics (13H15) Associated graded rings of ideals (Rees ring, form ring), analytic spread and related topics (13A30)

Related Items (2)

Ulrich ideals and 2-AGL rings ⋮ Almost Gorenstein rings arising from fiber products

Cites Work

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• The almost Gorenstein Rees algebras over two-dimensional regular local rings
• Almost Gorenstein rings
• Integral closedness of complete-intersection ideals
• Birational extensions in dimension two and integrally closed ideals
• Rees algebras of contracted ideals in two-dimensional regular local rings
• Cohen-Macaulay local rings of maximal embedding dimension
• One-dimensional almost Gorenstein rings
• Certain complexes associated to a sequence and a matrix
• Almost Gorenstein rings - towards a theory of higher dimension
• Maximally generated Cohen-Macaulay modules.
• Hilbert Functions and Pseudo-Rational Local Rings of Dimension Two
• Ideals Having the Expected Reduction Number
• The equations of Rees algebras of equimultiple ideals of deviation one
• Joint reductions and Rees algebras
• Polynomial Ideals Defined by Infinitely Near Base Points
• The almost Gorenstein Rees algebras of parameters

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