A genus explanation of the Buchsbaum-Rim multiplicity
arXiv:2104.09698
Abstract
We study the Buchsbaum-Rim multiplicity, ab inicio, through a Koszul-Čech spectral sequence. We show that the Buchsbaum-Rim multiplicity is the arithmetic genus (Euler characteristic) of Koszul homology sheaves on a projective space over the base scheme.
24pages, Comments Welcome