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.

中文翻译：

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第二维罗内塞的 Koszul 同源代数由最低链产生

我们证明了特征零域上多项式环的第二个 Veronese 子代数的 Koszul 同源代数作为代数由对应于最低线性链的合子的同源类生成。