The goal of the talk is to introduce and discuss the notion Koszul algebra in the commutative setting along with the associated notions of G-quadraticity and Koszul filtration. We present some results that appear in the papers [C, CTV, CRV] joint with M.E.Rossi, N.V.Trung and G.Valla. These results concern Koszul and G-quadratic properties of algebras associated with points, curves, cubics and spaces of quadrics of low codimension.
@article{BUMI_2008_9_1_2_429_0,
author = {Aldo Conca},
title = {Algebre di Koszul},
journal = {Bollettino dell'Unione Matematica Italiana},
volume = {1},
year = {2008},
pages = {429-437},
zbl = {1181.13012},
mrnumber = {2424302},
language = {it},
url = {http://dml.mathdoc.fr/item/BUMI_2008_9_1_2_429_0}
}
Conca, Aldo. Algebre di Koszul. Bollettino dell'Unione Matematica Italiana, Tome 1 (2008) pp. 429-437. http://gdmltest.u-ga.fr/item/BUMI_2008_9_1_2_429_0/
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