Title

Weighted Projective Spaces and a Generalization of Eves' Theorem

Document Type

Presentation

Presentation Date

3-12-2013

Conference Name

Analysis Seminar, University of Western Ontario

Peer Review

Invited

Abstract

The cross-ratio is an interesting quantity in elementary geometry because it is invariant under projective transformations. I will propose a new generalization of the cross-ratio, although showing whether the new expression gives more information than previously known invariants requires an analysis of rational functions on real and complex weighted projective spaces. This talk is based on an article appearing soon in the Journal of Mathematical Imaging and Vision, and it will be accessible to students.

Disciplines

Algebraic Geometry | Applied Mathematics | Geometry and Topology | Mathematics | Other Applied Mathematics

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