Affine Spaces within Projective Spaces

Fuente: arXiv
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Autores principales: Blunck, Andrea, Havlicek, Hans
Formato: Preprint
Publicado: 2013
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author Blunck, Andrea
Havlicek, Hans
author_facet Blunck, Andrea
Havlicek, Hans
contents We endow the set of complements of a fixed subspace of a projective space with the structure of an affine space, and show that certain lines of such an affine space are affine reguli or cones over affine reguli. Moreover, we apply our concepts to the problem of describing dual spreads. We do not assume that the projective space is finite-dimensional or pappian.
format Preprint
id arxiv_https___arxiv_org_abs_1304_0093
institution arXiv
publishDate 2013
record_format arxiv
spellingShingle Affine Spaces within Projective Spaces
Blunck, Andrea
Havlicek, Hans
Algebraic Geometry
Rings and Algebras
51A30, 51A40, 51A45
We endow the set of complements of a fixed subspace of a projective space with the structure of an affine space, and show that certain lines of such an affine space are affine reguli or cones over affine reguli. Moreover, we apply our concepts to the problem of describing dual spreads. We do not assume that the projective space is finite-dimensional or pappian.
title Affine Spaces within Projective Spaces
topic Algebraic Geometry
Rings and Algebras
51A30, 51A40, 51A45
url https://arxiv.org/abs/1304.0093