Arithmetic degree and associated graded modules

DOI10.1007/s00229-004-0492-7zbMath1067.13014arXivmath/0402455OpenAlexW2047582574MaRDI QIDQ706164

Natale Paolo Vinai

Publication date: 2 February 2005

Published in: Manuscripta Mathematica (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/math/0402455

zbMATH Keywords

bigraded algebraassociated graded modulearithmetic degreeembedded component

Mathematics Subject Classification ID

Multiplicity theory and related topics (13H15) Graded rings (13A02) Local cohomology and commutative rings (13D45) Associated graded rings of ideals (Rees ring, form ring), analytic spread and related topics (13A30)

Uses Software

• CoCoA
• Macaulay2
• REDUCE
• SEGRE
• CALI

Cites Work

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• Associated primes and arithmetic degrees
• Multiplicities of a bigraded ring and intersection theory
• Some features of \(CoCoA 3\)
• Bounds on degrees of projective schemes
• Embedded primes and the associated graded ring
• Connectedness of Hilbert scheme
• A note on form rings and ideals
• Joins and Intersections
• What can be computed in algebraic geometry?
• Positivity of mixed multiplicities

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