Cohomology of projective schemes: From annihilators to vanishing

Details Cohomology of projective schemes: From annihilators to vanishing Cohomology of projective schemes: From annihilators to vanishing

2002-09-25

arxiv.org/abs/math/0209338v1

Mathematics

Commutative Algebra

Scientific paper

We provide bounds on the Castelnuovo-Mumford regularity in terms of
``defining equations'' by using elements that annihilates some cohomology
modules, inspired by works of Miyazaki, Nagel, Schenzel and Vogel. The elements
in these annihilators are provided either by liaison or by tight closure
theories. Our results hold in any characteristic.

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