2007/05/27 by David Eisenbud, Eisenbud, David, Bernd Ulrich +1
Mathematics · #13C05 #13C15 #13P99 #14N05 #14Q99 #Algebraic Geometry (math.AG) #Commutative Algebra (math.AC) #FOS: Mathematics #math.AC #math.AG #msc:13C05 #msc:13C15 #msc:13P99 #msc:14N05 #msc:14Q99
paper · pdf · doi:10.48550/arxiv.0705.3931
Many small improvements over the May 2007 version
arxiv created 2008/03/29 · arxiv updated 2009/12/01
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.