A genus explanation of the Buchsbaum-Rim multiplicity
Commutative Algebra
2021-04-23 v2 Algebraic Geometry
Abstract
We study the Buchsbaum-Rim multiplicity, ab inicio, through a Koszul-\v{C}ech 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.
Keywords
Cite
@article{arxiv.2104.09698,
title = {A genus explanation of the Buchsbaum-Rim multiplicity},
author = {Vinicius Bouça and Thiago Fiel and Seyed Hamid Hassanzadeh and José Naéliton},
journal= {arXiv preprint arXiv:2104.09698},
year = {2021}
}
Comments
24pages, Comments Welcome