Row Ideals and Fibers of Morphisms

Mathematics – Commutative Algebra

Scientific paper

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Many small improvements over the May 2007 version

Scientific paper

We study the fibers of a projective morphism and some related algebraic
problems. We characterize the analytic spread of a homogeneous ideal through
properties of its syzygy matrix. Powers of linearly presented ideals need not
be linearly presented, but we identify a weaker linearity property that is
preserved under taking powers.

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