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A note on super Koszul complex and the Berezinian

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Publication:2118021
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DOI10.1007/s10231-021-01121-6OpenAlexW3171799557MaRDI QIDQ2118021

Riccardo Re, Simone Noja

Publication date: 22 March 2022

Published in: Annali di Matematica Pura ed Applicata. Serie Quarta (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/s10231-021-01121-6

zbMATH Keywords

Koszul complexsuperalgebrasupergeometryBerezinian


Mathematics Subject Classification ID

(Co)homology of rings and associative algebras (e.g., Hochschild, cyclic, dihedral, etc.) (16E40) Homological functors on modules (Tor, Ext, etc.) in associative algebras (16E30) Supermanifolds and graded manifolds (58A50) Superalgebras (17A70)


Related Items

The universal de Rham / Spencer double complex on a supermanifold, On the geometry of forms on supermanifolds, On BV supermanifolds and the super Atiyah class, Unnamed Item, A review of Lie superalgebra cohomology for pseudoforms



Cites Work

  • Unnamed Item
  • Unnamed Item
  • Unnamed Item
  • D-modules on supermanifolds
  • On forms, cohomology and BV Laplacians in odd symplectic geometry
  • Serre duality for projective supermanifolds
  • Mathematical foundations of supersymmetry
  • Non-projected Calabi-Yau supermanifolds over \(\mathbb{P}^2\)
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