Characteristic dependence of syzygies of random monomial ideals

When do syzygies depend on the characteristic of the field? Even for well-studied families of examples, very little is known. For a family of random monomial ideals, namely the Stanley--Reisner ideals of random flag complexes, we prove that the Betti numbers asymptotically almost always depend on th...

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Hauptverfasser:	Booms, Caitlyn, Erman, Daniel, Yang, Jay
Format:	Artikel
Sprache:	eng
Schlagworte:	Mathematics - Algebraic Geometry Mathematics - Combinatorics Mathematics - Commutative Algebra
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