Explicit formula for regularity of almost complete intersection monomial ideals and proof that integral closure regularity is bounded by the original for dominant and almost complete intersection cases.
Three simplicial resolutions
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abstract
We describe the Taylor and Lyubeznik resolutions as simplicial resolutions, and use them to show that the Scarf complex of a monomial ideal is the intersection of all its minimal free resolutions.
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math.AC 1years
2026 1verdicts
UNVERDICTED 1representative citing papers
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On the Regularity of Dominant and Almost Complete Intersection Monomial Ideals
Explicit formula for regularity of almost complete intersection monomial ideals and proof that integral closure regularity is bounded by the original for dominant and almost complete intersection cases.