2025/09/13 by Hsiao, Andy
#05B35 (Primary) #52B40 #Combinatorics (math.CO) #FOS: Mathematics
paper · doi:10.48550/arxiv.2509.10909
It is known that the Chow ring of a matroid satisfies the Hard Lefschetz property and Hodge Riemann relations. We provide a proof of this theorem by decomposition of the deletion operation into star subdivisions at two dimensional cones. This gives a simple combinatorial proof which avoids intersection cohomology or algebraic geometry.