Exemples de surfaces canoniques de \mathbb P⁶ et de solides de Calabi-Yau de \mathbb P⁷

2003/10/22 by Marie-Amélie Bertin, Bertin, Marie-Amélie
Mathematics · #14Jxx #14M07 #Advanced Algebra and Geometry #Algebraic Geometry (math.AG) #Algebraic Geometry and Number Theory #FOS: Mathematics #Geometry and complex manifolds #math.AG #msc:14Jxx #msc:14M07

paper · pdf · doi:10.48550/arxiv.math/0310353

5 pages, in french

arxiv created 2003/10/22 · openalex publication_date 2003/10/22 · arxiv updated 2009/12/01 · openalex created_date 2025/10/10 · openalex updated_date 2026/07/28

Abstract

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

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