On the arithmetic rank of certain Segre products

Details On the arithmetic rank of certain Segre products On the arithmetic rank of certain Segre products

2004-10-25

arxiv.org/abs/math/0410535v1

Mathematics

Commutative Algebra

Scientific paper

We compute the arithmetic ranks of the defining ideals of homogeneous
coordinate rings of certain Segre products arising from elliptic curves. The
cohomological dimension of these ideals varies with the characteristic of the
field, though the arithmetic rank does not. We also study the related
set-theoretic Cohen-Macaulay property for these ideals.

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