Relative Hard Lefschetz Theorem for Fans

2017/10/17 by Karu, Kalle · 5 citations
#14F43 #14M25 (Primary) #52B05 (Secondary) #Algebraic Geometry (math.AG) #Combinatorics (math.CO) #FOS: Mathematics

paper · doi:10.48550/arxiv.1710.06468

Abstract

We prove the Relative Hard Lefschetz theorem and the Relative Hodge-Riemann bilinear relations for combinatorial intersection cohomology sheaves on fans.

Cited by

• Subdivisions of lower Eulerian posets and KLS theory
• Subdivisions of lower Eulerian posets
• A decomposition theorem for Lefschetz modules
• Hodge theory of matroids by star subdivisions
• Newton numbers, vanishing polytopes and algebraic degrees

Related

• Hard Lefschetz theorem and Hodge-Riemann relations for intersection cohomology of nonrational polytopes
• Filtrations on combinatorial intersection cohomology and invariants of subdivisions
• Lefschetz decomposition and the cd-index of fans
• Combinatorial Duality and Intersection Product: A Direct Approach
• Remarks on the combinatorial intersection cohomology of fans