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On Koszul complex of a supermodule

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Publication:6638274
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DOI10.1016/j.geomphys.2024.105311MaRDI QIDQ6638274

Fernando Sancho de Salas, Darío Sánchez Gómez

Publication date: 14 November 2024

Published in: Journal of Geometry and Physics (Search for Journal in Brave)




zbMATH Keywords

Koszul complexsupergeometryBott's formulasupermoduleBerezinian


Mathematics Subject Classification ID

Supermanifolds and graded manifolds (58A50) Superalgebras (17A70) Differentials and other special sheaves; D-modules; Bernstein-Sato ideals and polynomials (14F10)


Cites Work

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  • Euler sequence and Koszul complex of a module
  • Homogeneous vector bundles
  • Serre duality for projective supermanifolds
  • Vector bundles on complex projective spaces
  • Projective superspaces in practice
  • A note on super Koszul complex and the Berezinian
  • Mathematical foundations of supersymmetry
  • Notes on fundamental algebraic supergeometry. Hilbert and Picard superschemes
  • INTRODUCTION TO THE THEORY OF SUPERMANIFOLDS
  • Residues of a Pfaff system relative to an invariant subscheme
  • Homologie et cohomologie des algèbres de Lie
  • On the geometry of forms on supermanifolds







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