English

Complete intersections on general hypersurfaces

Algebraic Geometry 2009-09-29 v1 Commutative Algebra

Abstract

We ask when certain complete intersections of codimension rr can lie on a generic hypersurface in \PPn\PP^n. We give a complete answer to this question when 2rn+22r \leq n+2 in terms of the degrees of the hypersurfaces and of the degrees of the generators of the complete intersection.

Keywords

Cite

@article{arxiv.0801.4288,
  title  = {Complete intersections on general hypersurfaces},
  author = {E. Carlini and L. Chiantini and A. V. Geramita},
  journal= {arXiv preprint arXiv:0801.4288},
  year   = {2009}
}
R2 v1 2026-06-21T10:07:09.052Z