The Fundamental Theorem for locally projective geometries

Juan B. Sancho de Salas

The Fundamental Theorem for locally projective geometries

Algebraic Geometry 2023-07-31 v2

Authors: Juan B. Sancho de Salas

Abstract

We deal with generalizations of the Fundamental Theorem of Projective Geometry to other related geometries (of dimension $\geq 3$ ) and non bijective maps. We consider locally projective geometries and locally affino-projective geometries (which include the classical M\"obius, Laguerre and Minkowski geometries).

Keywords

fundamental theorem projective geometry locally projective geometries locally affino-projective geometries mobius geometry laguerre geometry minkowski geometry

Cite

@article{arxiv.2207.07395,
  title  = {The Fundamental Theorem for locally projective geometries},
  author = {Juan B. Sancho de Salas},
  journal= {arXiv preprint arXiv:2207.07395},
  year   = {2023}
}

Comments

An omission in the main statements is corrected (the considered projective spaces have dimensions >2). The preliminary section is improved using a better notion of partial morphism. arXiv admin note: text overlap with arXiv:2204.10594

The Fundamental Theorem for locally projective geometries

Abstract

Keywords

Cite

Comments

Related papers