Castelnuovo–Mumford Regularity and Gorensteinness of Fiber Cone

DOI10.1080/00927872.2010.551528zbMath1251.13021arXiv1103.3555OpenAlexW2591870750MaRDI QIDQ2888549

Ramakrishna Nanduri, A. V. Jayanthan

Publication date: 1 June 2012

Published in: Communications in Algebra (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1103.3555

zbMATH Keywords

associated graded ringRees algebraCastelnuovo-Mumford regularityGorensteinfiber conecanonical modules

Mathematics Subject Classification ID

Special types (Cohen-Macaulay, Gorenstein, Buchsbaum, etc.) (13H10) Dimension theory, depth, related commutative rings (catenary, etc.) (13C15)

Related Items

Castelnuovo-Mumford regularity and Ratliff-Rush closure ⋮ Regularity comparison of fiber cone and associated graded ring ⋮ On regularity of Rees algebras of edge ideals of cone graphs

Uses Software

• CoCoA

Cites Work

• Unnamed Item
• Unnamed Item
• On the Gorenstein property of the associated graded ring of a power of an ideal
• On the Gorenstein property of form rings
• On the depth of the fiber cone of filtrations
• Embeddings of certain graded rings into their canonical modules
• The theory of d-sequences and powers of ideals
• When is the Rees algebra Gorenstein?
• On the structure of the fiber cone of ideals with analytic spread one
• The Gorenstein and complete intersection properties of associated graded rings
• On Fiber Cones of 𝑚-Primary Ideals
• The Castelnuovo regularity of the Rees algebra and the associated graded ring
• The Cohen-Macaulay symbolic Rees algebras for curve singularities
• Reduction number and a-Invariant of good filtrations
• FIBER CONES WITH ALMOST MAXIMAL DEPTH