Gorenstein formats, canonical and Calabi-Yau threefolds

Abstract

We extend the known classification of threefolds of general type that are complete intersections to various classes of non-complete intersections, and find other classes of polarised varieties, including Calabi-Yau threefolds with canonical singularities, that are not complete intersections. Our methods apply more generally to construct orbifolds described by equations in given Gorenstein formats.

25 pages

References in corpus (2)

• Four-dimensional projective orbifold hypersurfaces
• Constructing projective varieties in weighted flag varieties II

Cited by in corpus (3)

• Constructing Fano 3-folds from cluster varieties of rank 2
• Biregular models of log Del Pezzo surfaces with rigid singularities
• Polarized 3-folds in a codimension 10 weighted homogeneous $F_4$ variety