De Rham cohomology for supervarieties

DOI10.1007/s40879-024-00736-2arXiv2305.01858MaRDI QIDQ6131257

Alexander Polishchuk

Publication date: 4 April 2024

Published in: European Journal of Mathematics (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/2305.01858

zbMATH Keywords

de Rham complexsupervarietyHodge to de Rham spectral sequence

Mathematics Subject Classification ID

Supervarieties (14M30) Supermanifolds and graded manifolds (58A50) Transcendental methods, Hodge theory (algebro-geometric aspects) (14C30)

Cites Work

• D-modules on supermanifolds
• Relèvements modulo \(p^ 2\) et décomposition du complexe de de Rham. (Lifting modulo \(p^ 2\) and decomposition of the de Rham complex)
• Regularity of the superstring supermeasure and the superperiod map
• The universal de Rham / Spencer double complex on a supermanifold
• Notes on fundamental algebraic supergeometry. Hilbert and Picard superschemes
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