Uniform symbolic topologies in normal toric rings

DOI10.1016/j.jalgebra.2018.05.038zbMath1498.13065arXiv1706.06576OpenAlexW2648473322MaRDI QIDQ1663526

Robert M. Walker

Publication date: 21 August 2018

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

Full work available at URL: https://arxiv.org/abs/1706.06576

zbMATH Keywords

symbolic powerstoric ringmonomial primesSegre-Veronese

Mathematics Subject Classification ID

Toric varieties, Newton polyhedra, Okounkov bodies (14M25) Special types (Cohen-Macaulay, Gorenstein, Buchsbaum, etc.) (13H10) Divisors, linear systems, invertible sheaves (14C20)

Related Items (2)

Symbolic power containments in singular rings in positive characteristic ⋮ The uniform symbolic topology property for diagonally \(F\)-regular algebras

Uses Software

• Macaulay2

Cites Work

• Unnamed Item
• Uniform symbolic topologies and finite extensions
• Comparison of symbolic and ordinary powers of ideals.
• Symbolic powers of ideals
• Uniform Harbourne-Huneke bounds via flat extensions
• Uniform equivalence of symbolic and adic topologies
• Rational singularities and uniform symbolic topologies
• Introduction to Toric Varieties. (AM-131)
• Uniform symbolic topologies via multinomial expansions
• Uniform bounds and symbolic powers on smooth varieties

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