A canonical treatment of line bundles over general projective spaces
Algebraic Geometry
2023-09-21 v1
Abstract
Projective spaces for finite-dimensional vector spaces over general fields are considered. The geometry of these spaces and the theory of line bundles over these spaces is presented. Particularly, the space of global regular sections of these bundles is examined. Care is taken in two directions: (1) places where algebraic closedness of the field are important are pointed out; (2) basis free constructions are used exclusively.
Keywords
Cite
@article{arxiv.2309.11121,
title = {A canonical treatment of line bundles over general projective spaces},
author = {Andrew D. Lewis},
journal= {arXiv preprint arXiv:2309.11121},
year = {2023}
}