English

Exemples de surfaces canoniques de ${\mathbb P}^6$ et de solides de Calabi-Yau de ${\mathbb P}^7$

Algebraic Geometry 2007-05-23 v1

Abstract

Using the global Gulliksen-Neg{\aa}rd complex, we build in this note regular canonical surfaces of general type in P6{\mathbb P}^6, Calabi-Yau 3-folds in P7{\mathbb P}^7 and Fano anticanonical 4-folds, all of degree 17 and 20. We also give their Hodge number and syzygies.

Keywords

Cite

@article{arxiv.math/0310353,
  title  = {Exemples de surfaces canoniques de ${\mathbb P}^6$ et de solides de Calabi-Yau de ${\mathbb P}^7$},
  author = {Marie-Amélie Bertin},
  journal= {arXiv preprint arXiv:math/0310353},
  year   = {2007}
}

Comments

5 pages, in french