Linearly foliated Calabi-Yau n-folds I. First-order deformations

2007/12/04 by Ricco, Antonio
#14D15 #14J32 #81T30 #Algebraic Geometry (math.AG) #FOS: Mathematics #FOS: Physical sciences #High Energy Physics - Theory (hep-th)

paper · doi:10.48550/arxiv.0712.0474

Abstract

We consider classes of noncompact n-folds with trivial canonical bundle, that are linear foliations on nonsingular projective varieties, in general without a projection to the base. We obtain them as first-order deformations of total spaces of vector bundles on those varieties.

Related

• Calabi-Yau Foliations and Deformations
• Singular foliations with trivial canonical class
• The Deformation Space of Calabi-Yau n-folds with canonical singularities can be obstructed
• Codimension 1 foliations with numerically trivial canonical class on singular spaces
• Foliations with trivial canonical bundle on Fano 3-folds