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- W2399615533 abstract "We prove the subadditivity property for the maximal degrees of the syzygies of facet ideals simplicial forests. For such an ideal $I$, if the $i$-th Betti number is nonzero and $i=a+b$, we show that there are monomials in the lcm lattice of $I$ that are complements in part of the lattice, each supporting a nonvanishing $a$-th and $b$-th Betti numbers. The subadditivity formula follows from this observation." @default.
- W2399615533 created "2016-06-24" @default.
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- W2399615533 date "2016-05-25" @default.
- W2399615533 modified "2023-09-27" @default.
- W2399615533 title "Lattice Complements and the Subadditivity of Syzygies of Simplicial Forests" @default.
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