We show that the Koszul homology algebra of the second Veronese subalgebra of a polynomial ring over a field of characteristic zero is generated, as an algebra, by the homology classes corresponding to the syzygies of the lowest linear strand.
Bibliographical noteFunding Information:
The second author was supported by the Deutsche Forschungsgemeinschaft (DFG), grant KA 4128/2-1.
© 2018 Elsevier Inc.
- Koszul homology
- Linear group
- Veronese Algebra