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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Bibliographic Details
Published in:Boletim da Sociedade Brasileira de Matemática 2022-09, Vol.53 (3), p.925-940
Main Authors: Freitas, T. H., Jorge-Pérez, V. H.
Format: Article
Language:English
Subjects:
Mathematical and Computational Physics
Mathematics
Mathematics and Statistics
Theoretical
Upper bounds
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Description
Summary: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