A genus explanation of Buchsbaum-Rim multiplicity

Abstract: We explain the Buchsbaum-Rim multiplicity as the Euler-Poincare characteristic of an “ordinary” Koszul complex. This provides a generalization of Serre’s formula for the Hilbert-Samuel multiplicity in terms of the length of the Koszul homologies.The talk is based on a joint work with: Viniçius Bouça, Thiago Fiel and Jose Naeliton.

algebraic geometry

Audience: researchers in the topic

Brazilian algebraic geometry seminar

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