English

On a noncommutative algebraic geometry

Complex Variables 2015-01-08 v1

Abstract

Several sets of quaternionic functions are described and studied with respect to hy-perholomorphy, addition and (non commutative) multiplication, on open sets of H, then Hamil-ton 4-manifolds analogous to Riemann surfaces, for H instead of C, are defined, and so begin to describe a class of four dimensional manifolds.

Keywords

Cite

@article{arxiv.1501.01379,
  title  = {On a noncommutative algebraic geometry},
  author = {Pierre Dolbeault},
  journal= {arXiv preprint arXiv:1501.01379},
  year   = {2015}
}
R2 v1 2026-06-22T07:53:12.558Z