Lefschetz and Lower Bound theorems for Minkowski sums

2017/11/20 by Adiprasito, Karim
#05E45 #13F55 #13H10 #52B05 #Combinatorics (math.CO) #FOS: Mathematics

paper · doi:10.48550/arxiv.1711.07218

Abstract

This note provides a Lefschetz theorem for Minkowski sums of polytopes, and conclude lower bound theorems for Minkowski sums of polytopes. It is written as an appendix to arXiv:1405.7368, so notation and references follow that paper.

Related

• Relative Stanley-Reisner theory and Upper Bound Theorems for Minkowski sums
• A geometric approach for the upper bound theorem for Minkowski sums of convex polytopes
• A linear equation for Minkowski sums of polytopes relatively in general position
• Minkowski sum of polytopes and its normality
• On Minkowski Sums of Simplices