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

Marie-Amélie Bertin

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

Marie-Amélie Bertin

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Abstract

Using the global Gulliksen-Negård 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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BibTeX RIS

Marie-Amélie Bertin. 2003-10-22. Exemples de surfaces canoniques de ${\mathbb P}^6$ et de solides de Calabi-Yau de ${\mathbb P}^7$. https://arxiv.org/abs/math/0310353

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