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

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

2003-10-22

arxiv.org/abs/math/0310353v1

Mathematics

Algebraic Geometry

5 pages, in french

Scientific paper

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

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