On the Irreducible Components of the Form Ring and an Application to Intersection Cycles

DOI10.1080/00927870600636365zbMath1098.13008arXivmath/0402106OpenAlexW1977753227MaRDI QIDQ5489254

Erika Giorgi

Publication date: 25 September 2006

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

Full work available at URL: https://arxiv.org/abs/math/0402106

zbMATH Keywords

analytic spreadassociated graded ringRees algebraminimal primesintersection cycle

Mathematics Subject Classification ID

Integral closure of commutative rings and ideals (13B22) Intersection theory, characteristic classes, intersection multiplicities in algebraic geometry (14C17) Associated graded rings of ideals (Rees ring, form ring), analytic spread and related topics (13A30)

Related Items (1)

SYMBOLIC ANALYTIC SPREAD: UPPER BOUNDS AND APPLICATIONS

Cites Work

• Excess intersections and a correspondence principle
• Quintasymptotic primes and four results of Schenzel
• Normal Rees algebras
• On the foundations of algebraic geometry
• Finiteness of Relative REES Rings and Asymptotic Prime Divisors
• Primes Associated to an Ideal
• Defining algebraic intersections
• Joins and Intersections
• Symbolic powers and the associated graded ring
• Computational methods of commutative algebra and algebraic geometry. With chapters by David Eisenbud, Daniel R. Grayson, Jürgen Herzog and Michael Stillman

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