Some Functions of Points in Projective Spaces

Joseph Zaks

doi:10.1023/A:1004970529640

Some Functions of Points in Projective Spaces

Joseph Zaks

Department of Mathematics

Research output: Contribution to journal › Article › peer-review

Abstract

Extending earlier results in the plane, we prove that every n-polygon in sufficiently general position in d-dimensional projective space, n ≥ d + 2, gives rise to a derived n-polygon, which preserves a few functions; these functions are the cyclial product of (actually affine) ratios of various points, obtained by proper projections on suitable lines.

Original language	English
Pages (from-to)	223-232
Number of pages	10
Journal	Geometriae Dedicata
Volume	67
Issue number	2
DOIs	https://doi.org/10.1023/A:1004970529640
State	Published - 1997

Keywords

Derived polygons
Projective d-space
n-polygons

ASJC Scopus subject areas

Geometry and Topology

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10.1023/A:1004970529640

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AB - Extending earlier results in the plane, we prove that every n-polygon in sufficiently general position in d-dimensional projective space, n ≥ d + 2, gives rise to a derived n-polygon, which preserves a few functions; these functions are the cyclial product of (actually affine) ratios of various points, obtained by proper projections on suitable lines.

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Some Functions of Points in Projective Spaces

Abstract

Keywords

ASJC Scopus subject areas

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