Algebraic vector bundles on the 2-sphere and smooth rational varieties with infinitely many real forms

Adrien Dubouloz; Gene Freudenburg; Lucy Moser-Jauslin

Algebraic vector bundles on the 2-sphere and smooth rational varieties with infinitely many real forms

Algebraic Geometry 2018-07-17 v1

Authors: Adrien Dubouloz , Gene Freudenburg , Lucy Moser-Jauslin

Abstract

We construct smooth rational real algebraic varieties of every dimension $\ge$ 4 which admit infinitely many pairwise non-isomorphic real forms.

Keywords

algebraic vector bundles 2-sphere rational varieties real forms real algebraic geometry

Cite

@article{arxiv.1807.05885,
  title  = {Algebraic vector bundles on the 2-sphere and smooth rational varieties with infinitely many real forms},
  author = {Adrien Dubouloz and Gene Freudenburg and Lucy Moser-Jauslin},
  journal= {arXiv preprint arXiv:1807.05885},
  year   = {2018}
}