On local cohomology of a tetrahedral curve

Details On local cohomology of a tetrahedral curve On local cohomology of a tetrahedral curve

2009-10-06

arxiv.org/abs/0910.0919v1

Mathematics

Commutative Algebra

To appear in Acta Math. Vietnam

Scientific paper

It is shown that the diameter $\diam (H^1_\mfr(R/I))$ of the first local
cohomology module of a tetrahedral curve $C= C(a_1,...,a_6)$ can be explicitly
expressed in terms of the $a_i$ and is the smallest non-negative integer $k$
such that $\mfr^k H^1_\mfr(R/I)=0$. From that one can describe all
arithmetically Cohen-Macaulay or Buchsbaum tetrahedral curves.

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