On top dimensional Lyubeznik numbers in mixed characteristic

2016/09/20 by Stäbler, Axel
#13D45 #13H99 #Commutative Algebra (math.AC) #FOS: Mathematics

paper · doi:10.48550/arxiv.1609.06372

Abstract

We prove that the top mixed characteristic Lyubeznik number of a ring S that is a quotient of a complete unramified regular local ring of mixed characteristc with algebraically closed residue field is 1 provided that depth S ≥ 2 and dim S ≥ 3 using a second vanishing theorem in mixed characteristic proved in arXiv:1609.05846

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