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arXiv · 1407.5850

Some projective distance inequalities for simplices in complex projective space

Mark Fincher·Heather Olney·William Cherry
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Abstract

We prove inequalities relating the absolute value of the determinant of n+1 linearly independent unit vectors in an n+1 dimensional complex vector space and the projective distances from the vertices to the hyperplanes containing the opposite faces of the simplices in complex projective n-space whose vertices or faces are determined by the given vectors.

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Mark Fincher, Heather Olney, William Cherry. 2014-07-22. Some projective distance inequalities for simplices in complex projective space. https://doi.org/10.2140/involve.2015.8.707

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