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math.AG2022
Open loci of ideals with applications to Birational maps
S. H. Hassanzadeh, M. Mostafazadehfard
In this work we show that the loci of ideals in principal class, ideals of grade at least two, and ideals of maximal analytic spread are Zariski open sets in the parameter space. A…
math.AG2015★ 11 cited
Bounds on the degrees of birational maps with arithmetically Cohen-Macaulay graphs
S. Hamid Hassanzadeh, Aron Simis
A rational map whose source and image are projectively embedded varieties has an {\em Arithmetically Cohen-Macaulay graph} if the Rees algebra of one (hence any) of its base ideals…