English

Factoriality of complete intersection threefolds

Algebraic Geometry 2008-09-01 v1

Abstract

Let X be a complete intersection of two hypersurfaces F_n and F_k in the projective space P^5 of degree n and k respectively with n >= k, such that the singularities of X are nodal and F_k is smooth. We prove that if the threefold X has at most (n+k-2)(n-1)-1 singular points, then it is factorial.

Keywords

Cite

@article{arxiv.0808.4071,
  title  = {Factoriality of complete intersection threefolds},
  author = {Dimitra Kosta},
  journal= {arXiv preprint arXiv:0808.4071},
  year   = {2008}
}

Comments

7 pages

R2 v1 2026-06-21T11:15:01.460Z