English

On Algebraic Semigroups and Monoids

Algebraic Geometry 2013-12-23 v5 Group Theory

Abstract

We present some fundamental results on (possibly nonlinear) algebraic semigroups and monoids. These include a version of Chevalley's structure theorem for irreducible algebraic monoids, and the description of all algebraic semigroup structures on curves and complete varieties.

Keywords

Cite

@article{arxiv.1208.0675,
  title  = {On Algebraic Semigroups and Monoids},
  author = {Michel Brion},
  journal= {arXiv preprint arXiv:1208.0675},
  year   = {2013}
}

Comments

Minor corrections. Final version, to appear in the proceedings of the Fields Institute workshop on algebraic monoids, group embeddings and combinatorics

R2 v1 2026-06-21T21:45:42.066Z