English

Algebraic structures with unbounded Chern numbers

Algebraic Geometry 2018-10-31 v2 Geometric Topology

Abstract

We determine all Chern numbers of smooth complex projective varieties of dimension at least four which are determined up to finite ambiguity by the underlying smooth manifold. We also give an upper bound on the dimension of the space of linear combinations of Chern numbers with that property and prove its optimality in dimension four.

Keywords

Cite

@article{arxiv.1505.03086,
  title  = {Algebraic structures with unbounded Chern numbers},
  author = {Stefan Schreieder and Luca Tasin},
  journal= {arXiv preprint arXiv:1505.03086},
  year   = {2018}
}

Comments

15 pages; final version, to appear in Journal of Topology

R2 v1 2026-06-22T09:32:51.757Z