Geodesic
Weighted Brianchon-Gram Decomposition
Canadian mathematical bulletin, Tome 49 (2006) no. 2, pp. 161-169

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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's decomposition is a direct consequence of the ordinary Brianchon–Gram formula.
DOI : 10.4153/CMB-2006-017-x
Mots-clés : 52B 
Agapito, J. Weighted Brianchon-Gram Decomposition. Canadian mathematical bulletin, Tome 49 (2006) no. 2, pp. 161-169. doi: 10.4153/CMB-2006-017-x
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     author = {Agapito, J.},
     title = {Weighted {Brianchon-Gram} {Decomposition}},
     journal = {Canadian mathematical bulletin},
     pages = {161--169},
     year = {2006},
     volume = {49},
     number = {2},
     doi = {10.4153/CMB-2006-017-x},
     url = {http://geodesic.mathdoc.fr/articles/10.4153/CMB-2006-017-x/}
}
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