Arithmetically Cohen-Macaulay reducible curves in projective spaces.

Edoardo Ballico

doi:10.36045/bbms/1047309411

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Arithmetically Cohen-Macaulay reducible curves in projective spaces.

Edoardo Ballico

Year: 2003 Journal: Bulletin of the Belgian Mathematical Society - Simon Stevin Vol: 10 (1)

DOI: 10.36045/bbms/1047309411

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Abstract

Here we prove that a reduced curve $X \subset {\bf {P}}^N$ either canonically embedded or with a high degree complete embedding is arithmetically Cohen - Macaulay.

Keywords:

Projective test Mathematics Pure mathematics Combinatorics Arithmetic Algebra over a field

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Commutative Algebra and Its Applications

Physical Sciences → Mathematics → Algebra and Number Theory

Algebraic Geometry and Number Theory

Physical Sciences → Mathematics → Geometry and Topology

Polynomial and algebraic computation

Physical Sciences → Computer Science → Computational Theory and Mathematics

Arithmetically Cohen-Macaulay reducible curves in projective spaces.

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