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The vanishing of the first tight Hilbert coefficient for Buchsbaum rings (2401.06756v2)

Published 12 Jan 2024 in math.AC

Abstract: We prove that if the first tight Hilbert coefficient vanishes then ring is $F$-rational provided it is a Buchsbaum local ring satisfying the $(S_2)$ condition.

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  1. Huneke’s conjecture on vanishing first tight Hilbert coefficient implying F-rationality
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