The Analytic Spread of Monomial Ideals

DOI10.1081/AGB-120022236zbMath1085.13501OpenAlexW2039832058MaRDI QIDQ4414339

Carles Bivià-Ausina

Publication date: 24 July 2003

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

Full work available at URL: https://doi.org/10.1081/agb-120022236

Mathematics Subject Classification ID

Toric varieties, Newton polyhedra, Okounkov bodies (14M25) Integral closure of commutative rings and ideals (13B22) Associated graded rings of ideals (Rees ring, form ring), analytic spread and related topics (13A30) Formal power series rings (13F25) Real and complex fields (12D99)

Related Items (7)

Limit behavior of the rational powers of monomial ideals ⋮ ANALYTIC SPREAD AND INTEGRAL CLOSURE OF INTEGRALLY DECOMPOSABLE MODULES ⋮ Generalized Samuel Multiplicities of Monomial Ideals and Volumes ⋮ The Betti polynomials of powers of an ideal ⋮ Bernstein-Sato theory for singular rings in positive characteristic ⋮ Stability of depth and Cohen-Macaulayness of integral closures of powers of monomial ideals ⋮ Generalized multiplicities of edge ideals

Cites Work

• Unnamed Item
• Polyedres de Newton et nombres de Milnor
• Rings associated with ideals and analytic spread
• The asymptotic nature of the analytic spread
• A note on analytic spread
• Note on analytic spread and asymptotic sequences
• Rings of Invariants of Tori, Cohen-Macaulay Rings Generated by Monomials, and Polytopes

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