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This paper extends the results of Boij, Eisenbud, Erman, Schreyer, andS\"oderberg on the structure of Betti cones of finitely generated gradedmodules and finite free complexes over polynomial rings, to all finitelygenerated graded rings admitting linear Noether normalizations. The key newinput is the existence of lim Ulrich sequences of graded modules over suchrings.

Lim Ulrich sequences and Boij-S\"{o}derberg cones