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

Aldo Conca, Lukas Katthän, Victor Reiner

Research output: Contribution to journalArticlepeer-review

Abstract

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.

Original languageEnglish (US)
Pages (from-to)179-189
Number of pages11
JournalJournal of Algebra
Volume571
DOIs
StatePublished - Apr 1 2021

Bibliographical note

Funding Information:
The second author was supported by the Deutsche Forschungsgemeinschaft (DFG), grant KA 4128/2-1.

Publisher Copyright:
© 2018 Elsevier Inc.

Keywords

  • Koszul homology
  • Linear group
  • Veronese Algebra

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