Edge rings satisfying Serre’s condition $(R_{1})$

DOI10.1090/S0002-9939-2014-11973-3zbMath1306.13015arXiv1202.4889MaRDI QIDQ5418562

Takayuki Hibi, Lukas Katthän

Publication date: 4 June 2014

Published in: Proceedings of the American Mathematical Society (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1202.4889

zbMATH Keywords

edge ringfinite graphedge polytopeSerre's condition \((R_{1})\)

Mathematics Subject Classification ID

Lattice polytopes in convex geometry (including relations with commutative algebra and algebraic geometry) (52B20) Toric varieties, Newton polyhedra, Okounkov bodies (14M25) Special types (Cohen-Macaulay, Gorenstein, Buchsbaum, etc.) (13H10)

Related Items (3)

Non-normal edge rings satisfying \((S_2)\)-condition ⋮ Quadratic-monomial generated domains from mixed signed, directed graphs ⋮ Properties of the toric rings of a chordal bipartite family of graphs

Cites Work

• Unnamed Item
• Normal polytopes arising from finite graphs
• Toric ideals generalized by quadratic binomials
• The integral closure of subrings associated to graphs
• Depth of edge rings arising from finite graphs
• Serre's Condition R_ℓfor Affine Semigroup Rings
• Polytopes, Rings, and K-Theory

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