Unobstructedness and dimension of families of codimension 3 ACM algebras

摘要

We also deal with a particular type of codimension 3, Cohen-Macaulay quotients A of R; concretely we restrict our attention to codimension 3 arithmetically Cohen-Macaulay subschemes X C Vn defined by the submaximal minors of a symmetric homogeneous matrix We prove that such schemes are glicci and we give lower bounds for the dimension of the corresponding component of the Hilbert scheme.