CMS/SMC
Canadian Mathematical Society
www.cms.math.ca
Canadian Mathematical Society
  location:  PublicationsjournalsCMB
Publications        
Abstract view

Weighted Brianchon-Gram Decomposition

  Published:2006-06-01
 Printed: Jun 2006
  • JosĂ© Agapito
Format:   HTML   LaTeX   MathJax   PDF   PostScript  

Abstract

We give in this note a weighted version of Brianchon and Gram's decomposition for a simple polytope. We can derive from this decomposition the weighted polar formula of Agapito and a weighted version of Brion's theorem, in a manner similar to Haase, where the unweighted case is worked out. This weighted version of Brianchon and Gram' decomposition is a direct consequence of the ordinary Brianchon--Gram formula.
MSC Classifications: 52B show english descriptions unknown classification 52B 52B - unknown classification 52B
 

© Canadian Mathematical Society, 2014 : https://cms.math.ca/