Bounds for Multiplicities of the Graded Fiber Product Ring

Bounds for Multiplicities of the Graded Fiber Product Ring

The main purpose of this paper is to show that for the class of standard graded fiber product rings, the lower and upper bounds of the Multiplicity conjecture can be improved. In certain cases, explicit formulas for the multiplicity of the graded fiber product ring are determined.

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Veröffentlicht in:Boletim da Sociedade Brasileira de Matemática 2022-09, Vol.53 (3), p.925-940
Hauptverfasser: Freitas, T. H., Jorge-Pérez, V. H.
Format: Artikel
Sprache:eng
Schlagworte:
Mathematical and Computational Physics
Mathematics
Mathematics and Statistics
Theoretical
Upper bounds
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Beschreibung
Zusammenfassung:The main purpose of this paper is to show that for the class of standard graded fiber product rings, the lower and upper bounds of the Multiplicity conjecture can be improved. In certain cases, explicit formulas for the multiplicity of the graded fiber product ring are determined.
ISSN:1678-7544
1678-7714
DOI:10.1007/s00574-022-00289-6