Calabi–Yau threefolds in \mathbb P⁶ P 6

2013/06/30 by Grzegorz Kapustka, Michal Kapustka, Michał Kapustka · 1 citation
Mathematics · #Algebraic Geometry and Number Theory #Degree (music) #Geometric Analysis and Curvature Flows #Geometry and complex manifolds #Projective test #Projective variety #Quadric #Type (biology) #math.AG #msc:14J32

paper · pdf · doi:10.1007/s10231-015-0476-0

25 pages, Annali di Matematica Pura ed Applicata 01.2015

openalex publication_date 2015/01/30 · arxiv created 2015/06/14 · arxiv updated 2015/06/16 · openalex created_date 2016/06/24 · openalex updated_date 2026/08/05

Abstract

We study the geometry of 3-codimensional smooth subvarieties of the complex projective space. In particular, we classify all quasi-Buchsbaum Calabi–Yau threefolds in projective 6-space. Moreover, we prove that this classification includes all Calabi–Yau threefolds contained in a possibly singular 5-dimensional quadric as well as all Calabi–Yau threefolds of degree at most 14 in \mathbb P⁶ .

Citations

• Algebraic Geometry

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