On special p-Borel ideals

Details On special p-Borel ideals On special p-Borel ideals

2007-02-22

arxiv.org/abs/math/0702628v1

Mathematics

Commutative Algebra

18 pages, 2 figures

Scientific paper

We define the reduced horseshoe resolution and the notion of conjoined pairs
of ideals in order to study the minimal graded free resolution of a class of
p-Borel ideals and recover Pardue's regularity formula for them. It will follow
from our technique that the graded betti numbers of these ideals do not depend
on the characteristic of the base field k.

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