English

Witt's theorem for noncommutative conics

Algebraic Geometry 2015-05-15 v3 Quantum Algebra

Abstract

Let k be a field. We show that all homogeneous noncommutative curves of genus zero over k are noncommutative P^1-bundles over a (possibly) noncommutative base. Using this result, we compute complete isomorphism invariants of homogeneous noncommutative curves of genus zero, allowing us to generalize a theorem of Witt.

Keywords

Cite

@article{arxiv.1503.04341,
  title  = {Witt's theorem for noncommutative conics},
  author = {A. Nyman},
  journal= {arXiv preprint arXiv:1503.04341},
  year   = {2015}
}

Comments

Section two generalized

R2 v1 2026-06-22T08:53:07.591Z