English

Gorenstein formats, canonical and Calabi-Yau threefolds

Algebraic Geometry 2022-10-28 v1

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.

Keywords

Cite

@article{arxiv.1409.4644,
  title  = {Gorenstein formats, canonical and Calabi-Yau threefolds},
  author = {Gavin Brown and Alexander Kasprzyk and Lei Zhu},
  journal= {arXiv preprint arXiv:1409.4644},
  year   = {2022}
}

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25 pages