Linear-type maps between affine and projective spaces

Published 22 Apr 2022 in math.AG | (2204.10594v4)

Abstract: We determine those maps between affine or projective spaces that are linear in the abstract sense of transforming collinear points into collinear points and whose restriction to any line is constant or injective. Our results are extensions of the classical Fundamental Theorems of Affine and Projective Geometries.

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Authors (1)

Juan B. Sancho de Salas

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