On local cohomology of a tetrahedral curve

2009/10/06 by Do Hoang Giang, Giang, Do Hoang, Lê Tuâń Hoa +1 · 1 citation
Mathematics · #13D45 #14M25 #Advanced Combinatorial Mathematics #Algebraic Geometry and Number Theory #Commutative Algebra (math.AC) #Commutative Algebra and Its Applications #FOS: Mathematics

paper · pdf · doi:10.48550/arxiv.0910.0919

openalex publication_date 2009/10/06 · openalex created_date 2025/10/10 · openalex updated_date 2026/07/28

Abstract

It is shown that the diameter \diam (H¹_\mfr(R/I)) of the first local cohomology module of a tetrahedral curve C= C(a₁,...,a₆) can be explicitly expressed in terms of the a_i and is the smallest non-negative integer k such that \mfr^k H¹_\mfr(R/I)=0. From that one can describe all arithmetically Cohen-Macaulay or Buchsbaum tetrahedral curves.

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