Weighted Projective Spaces and a Generalization of Eves' Theorem
Analysis Seminar, University of Western Ontario
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.
Algebraic Geometry | Applied Mathematics | Geometry and Topology | Mathematics | Other Applied Mathematics
Adam Coffman (2013).
Weighted Projective Spaces and a Generalization of Eves' Theorem.