A genus explanation of the Buchsbaum-Rim multiplicity
We study the Buchsbaum-Rim multiplicity, ab inicio, through a Koszul-\v{C}ech spectral sequence. We show that the Buchsbaum-Rim multiplicity is the arithmetic genus (Euler characteristic) of Koszul homology sheaves on a projective space over the base scheme.
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| Format: | Artikel |
| Sprache: | eng |
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| Zusammenfassung: | We study the Buchsbaum-Rim multiplicity, ab inicio, through a Koszul-\v{C}ech
spectral sequence. We show that the Buchsbaum-Rim multiplicity is the
arithmetic genus (Euler characteristic) of Koszul homology sheaves on a
projective space over the base scheme. |
|---|---|
| DOI: | 10.48550/arxiv.2104.09698 |