English

What determines a variety?

Algebraic Geometry 2020-04-16 v2

Abstract

We show that, over a field of characteristic 0, a normal, projective variety of dimension at least 4 is uniquely determined by its underlying topological space. The proof builds on previous work of Lieblich and Olsson. Version 2: many small changes and new references.

Keywords

Cite

@article{arxiv.2002.12424,
  title  = {What determines a variety?},
  author = {János Kollár},
  journal= {arXiv preprint arXiv:2002.12424},
  year   = {2020}
}
R2 v1 2026-06-23T13:56:53.912Z