2012/12/15 by Giulio Caviglia, Caviglia, Giulio, Alexandru Constantinescu +3
Mathematics · #05E45 #13D40 #13F55 #Advanced Combinatorial Mathematics #Algebraic structures and combinatorial models #Combinatorics (math.CO) #Commutative Algebra (math.AC) #Commutative Algebra and Its Applications #FOS: Mathematics
paper · pdf · doi:10.48550/arxiv.1212.3726
openalex publication_date 2012/12/15 · openalex created_date 2025/10/10 · openalex updated_date 2026/07/28
We show that monomial ideals generated in degree two satisfy a conjecture by Eisenbud, Green and Harris. In particular we give a partial answer to a conjecture of Kalai by proving that h-vectors of flag Cohen-Macaulay simplicial complexes are h-vectors of Cohen-Macaulay balanced simplicial complexes.