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math.AC2021
Lower bounds on Betti numbers
Adam Boocher, Eloísa Grifo
We survey recent results on bounds for Betti numbers of modules over polynomial rings, with an emphasis on lower bounds. Along the way, we give a gentle introduction to free resolu…
math.AC2021
A uniform Chevalley theorem for direct summands of polynomial rings in mixed characteristic
Alessandro De Stefani, Eloísa Grifo, Jack Jeffries
We prove an explicit uniform Chevalley theorem for direct summands of graded polynomial rings in mixed characteristic. Our strategy relies on the introduction of a new type of diff…