English

A few computations about the real cycle class map in low dimensions

K-Theory and Homology 2024-05-24 v1 Algebraic Geometry Algebraic Topology

Abstract

We investigate the surjectivity of the real cycle class map from II-cohomology to classical intergral cohomology for some real smooth varieties, in particular surfaces. This might be considered as one of several possible incarnations of real integral Hodge theory.

Keywords

Cite

@article{arxiv.2405.14348,
  title  = {A few computations about the real cycle class map in low dimensions},
  author = {Jens Hornbostel},
  journal= {arXiv preprint arXiv:2405.14348},
  year   = {2024}
}
R2 v1 2026-06-28T16:36:54.188Z