Bounds for Multiplicities of the Graded Fiber Product Ring

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Abstract

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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Freitas, T. H., & Jorge-Pérez, V. H. (2022). Bounds for Multiplicities of the Graded Fiber Product Ring. Bulletin of the Brazilian Mathematical Society, 53(3), 925–940. https://doi.org/10.1007/s00574-022-00289-6

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