ANALYTIC SPREAD OF FILTRATIONS ON TWO-DIMENSIONAL NORMAL LOCAL RINGS

DOI10.1017/nmj.2022.35OpenAlexW4309746507MaRDI QIDQ5877240

Steven Dale Cutkosky

Publication date: 10 February 2023

Published in: Nagoya Mathematical Journal (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/2203.05935

Mathematics Subject Classification ID

Singularities in algebraic geometry (14B05) Valuations and their generalizations for commutative rings (13A18) Local structure of morphisms in algebraic geometry: étale, flat, etc. (14B25)

Cites Work

• On unique and almost unique factorization of complete ideals. II
• Zariski decomposition of divisors on algebraic varieties
• Desingularization of two-dimensional schemes
• Symbolic powers of ideals
• On a problem of Zariski on dimensions of linear systems
• Zariski-decomposition and abundance
• Multiplicities and mixed multiplicities of arbitrary filtrations
• The theorem of Riemann-Roch for high multiples of an effective divisor on an algebraic surface
• Éléments de géométrie algébrique. IV: Étude locale des schémas et des morphismes de schémas. (Séconde partie)
• Éléments de géométrie algébrique. IV: Étude locale des schémas et des morphismes de schémas. (Troisième partie). Rédigé avec la colloboration de J. Dieudonné
• Rational singularities, with applications to algebraic surfaces and unique factorization
• Zariski Decomposition: A New (Old) Chapter of Linear Algebra
• Asymptotic Prime Divisors and Analytic Spreads
• Introduction to Algebraic Geometry
• NORMAL HILBERT COEFFICIENTS AND ELLIPTIC IDEALS IN NORMAL TWO-DIMENSIONAL SINGULARITIES
• Examples of multiplicities and mixed multiplicities of filtrations
• Desingularization: Invariants and Strategy
• SYMBOLIC ANALYTIC SPREAD: UPPER BOUNDS AND APPLICATIONS
• Asymptotic Factorization of Ideals
• Analytic spread of filtrations and symbolic algebras
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