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Some projective
distance inequalities for simplices in complex projective
space
Mark Fincher, Heather Olney and William Cherry
Vol. 8 (2015), No. 4, 707–719
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Abstract |
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We prove inequalities relating the absolute value of the determinant of linearly independent unit vectors in and the projective distances from the vertices to the hyperplanes containing the opposite faces of the simplices in complex projective -space whose vertices or faces are determined by the given vectors. |
Keywords
projective height, projective simplex, determinant
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Mathematical Subject Classification 2010
Primary: 51N15
Secondary: 32Q45
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Milestones
Received: 22 July 2014
Accepted: 19 August 2014
Published: 23 June 2015
Communicated by Michael Dorff
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Authors |
| Mark Fincher | |
| Department of Mathematics University of North Texas 1155 Union Circle #311430 Denton, TX 76203 United States |
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| Heather Olney | |
| Department of Mathematics University of North Texas 1155 Union Circle #311430 Denton, TX 76203 United States |
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| William Cherry | |
| Department of Mathematics University of North Texas 1155 Union Circle #311430 Denton, TX 76203 United States |
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