On the Noether and the Cayley–Bacharach Theorems with PD Multiplicities

On the Noether and the Cayley–Bacharach Theorems with PD Multiplicities

In this paper we prove the Noether theorem with the multiplicities described by PD operators. Despite the known analog versions in this case the provided conditions are necessary and sufficient. We also prove the Cayley–Bacharach theorem with PD multiplicities. As far as we know this is the first ge...

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Veröffentlicht in:Journal of contemporary mathematical analysis 2020-05, Vol.55 (3), p.156-165
Hauptverfasser: Hakopian, H., Vardanyan, N.
Format: Artikel
Sprache:eng
Schlagworte:
Intersections
Mathematics
Mathematics and Statistics
Theorems
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Zusammenfassung:In this paper we prove the Noether theorem with the multiplicities described by PD operators. Despite the known analog versions in this case the provided conditions are necessary and sufficient. We also prove the Cayley–Bacharach theorem with PD multiplicities. As far as we know this is the first generalization of this theorem for multiple intersections.
ISSN:1068-3623
1934-9416
DOI:10.3103/S1068362320030048