Generic residual intersections and intersection numbers of movable components

DOI10.1016/j.jpaa.2013.11.017zbMath1295.14006OpenAlexW2026810590MaRDI QIDQ2436714

Rüdiger Achilles, Jürgen Stückrad

Publication date: 26 February 2014

Published in: Journal of Pure and Applied Algebra (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/j.jpaa.2013.11.017

zbMATH Keywords

Intersection NumbersBézout's TheoremGeneric Residual IntersectionsIntersection CycleMovable Components

Mathematics Subject Classification ID

Multiplicity theory and related topics (13H15) 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)

Uses Software

• SEGRE
• CALI

Cites Work

• Excess intersections and a correspondence principle
• Multiplicity for ideals of maximal analytic spread and intersection theory
• Multiplicities of a bigraded ring and intersection theory
• On the self-intersection cycle of surfaces and some classical formulas for their secant varieties
• Joins and Intersections
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