TY - JOUR
T1 - An Alexander-Type duality for valuations
AU - Adiprasito, Karim A.
AU - Sanyal, Raman
N1 - Publisher Copyright:
© 2014 American Mathematical Society.
PY - 2015
Y1 - 2015
N2 - We prove an Alexander-type duality for valuations for certain subcomplexes in the boundary of polyhedra. These strengthen and simplify results of Stanley (1974) and Miller–Reiner (2005). We give a generalization of Brion’s theorem for this relative situation, and we discuss the topology of the possible subcomplexes for which the duality relation holds.
AB - We prove an Alexander-type duality for valuations for certain subcomplexes in the boundary of polyhedra. These strengthen and simplify results of Stanley (1974) and Miller–Reiner (2005). We give a generalization of Brion’s theorem for this relative situation, and we discuss the topology of the possible subcomplexes for which the duality relation holds.
UR - http://www.scopus.com/inward/record.url?scp=84919371958&partnerID=8YFLogxK
U2 - 10.1090/S0002-9939-2014-12366-5
DO - 10.1090/S0002-9939-2014-12366-5
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AN - SCOPUS:84919371958
SN - 0002-9939
VL - 143
SP - 833
EP - 843
JO - Proceedings of the American Mathematical Society
JF - Proceedings of the American Mathematical Society
IS - 2
ER -