The Koszul homology algebra of the second Veronese is generated by the lowest strand

JOURNAL OF ALGEBRA

卷:571

Article

Conca, Aldo¹  Katthaen, Lukas²  Reiner, Victor³ 

[1] Univ Genoa, Dipartimento Matemat, I-16146 Genoa, Italy

[2] Goethe Univ Frankfurt, Inst Math, Frankfurt, Germany

[3] Univ Minnesota, Sch Math, Minneapolis, MN 55455 USA

关键词: Koszul homology;    Veronese Algebra;    Linear group;   

DOI  :  10.1016/j.jalgebra.2018.09.013

来源: Elsevier

【 摘 要 】

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. (C) 2018 Elsevier Inc. All rights reserved.

【 授权许可】

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