On the arithmetical rank of a special class of minimal varieties

Details On the arithmetical rank of a special class of minimal varieties On the arithmetical rank of a special class of minimal varieties

2007-10-12

arxiv.org/abs/0710.2483v2

Mathematics

Commutative Algebra

The first part of Section 4 was rewritten

Scientific paper

We study the arithmetical ranks and the cohomological dimensions of an
infinite class of Cohen-Macaulay varieties of minimal degree. Among these we
find, on the one hand, infinitely many set-theoretic complete intersections, on
the other hand examples where the arithmetical rank is arbitrarily greater than
the codimension.

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