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On top dimensional Lyubeznik numbers in mixed characteristic

Published 20 Sep 2016 in math.AC | (1609.06372v2)

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 $S \geq 2$ and dim $S \geq 3$ using a second vanishing theorem in mixed characteristic proved in arXiv:1609.05846

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