English

A decomposition theorem for smoothable varieties with trivial canonical class

Algebraic Geometry 2017-04-07 v1

Abstract

In this paper we show that any smoothable complex projective variety, smooth in codimension two, with klt singularities and numerically trivial canonical class admits a finite cover, \'etale in codimension one, that decomposes as a product of an abelian variety, and singular analogues of irreducible Calabi-Yau and irreducible symplectic varieties.

Keywords

Cite

@article{arxiv.1704.01800,
  title  = {A decomposition theorem for smoothable varieties with trivial canonical class},
  author = {Stéphane Druel and Henri Guenancia},
  journal= {arXiv preprint arXiv:1704.01800},
  year   = {2017}
}

Comments

21 pages

R2 v1 2026-06-22T19:09:37.019Z