English

A structure theorem for unions of complete intersections

Algebraic Geometry 2012-10-16 v1 Commutative Algebra

Abstract

Using the connections among almost complete intersection schemes, arithmetically Gorenstein schemes and schemes that are union of complete intersections we give a structure theorem for arithmetically Cohen-Macaulay union of two complete intersections of codimension 2.2. We apply the results for computing Hilbert functions and graded Betti numbers for such schemes.

Keywords

Cite

@article{arxiv.1210.4003,
  title  = {A structure theorem for unions of complete intersections},
  author = {Alfio Ragusa and Giuseppe Zappala},
  journal= {arXiv preprint arXiv:1210.4003},
  year   = {2012}
}
R2 v1 2026-06-21T22:21:48.579Z