A Construction of Codimension Three Arithmetically Gorenstein Subschemes of Projective Space

@inproceedings{Migliore1997ACO,
title={A Construction of Codimension Three Arithmetically Gorenstein Subschemes of Projective Space},
author={Juan Migliore and Chris Peterson},
year={1997}
}

This paper presents a construction method for a class of codimension three arithmetically Gorenstein subschemes of projective space. These schemes are obtained from degeneracy loci of sections of certain specially constructed rank three reflexive sheaves. In contrast to the structure theorem of Buchsbaum and Eisenbud, we cannot obtain every arithmetically Gorenstein codimension three subscheme by our method. However, certain geometric applications are facilitated by the geometric aspect of this… CONTINUE READING