AN ALEXANDER-TYPE DUALITY FOR VALUATIONS

作者:Adiprasito Karim A*; Sanyal Raman
来源:Proceedings of the American Mathematical Society, 2015, 143(2): 833-843.

摘要

We prove an Alexander-type duality for valuations for certain sub-complexes 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.

  • 出版日期2015-2