Supergeometry of \(\varPi\)-projective spaces

DOI10.1016/j.geomphys.2017.11.010zbMath1388.58004arXiv1706.01359OpenAlexW2622610430MaRDI QIDQ1742286

Simone Noja

Publication date: 11 April 2018

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

Full work available at URL: https://arxiv.org/abs/1706.01359

zbMATH Keywords

supergeometryCalabi-Yau supermanifolds\(\varPi\)-projective geometrynon-projected supermanifolds

Mathematics Subject Classification ID

Calabi-Yau manifolds (algebro-geometric aspects) (14J32) Calabi-Yau theory (complex-analytic aspects) (32Q25) Supermanifolds and graded manifolds (58A50)

Related Items (8)

On forms, cohomology and BV Laplacians in odd symplectic geometry ⋮ Projective superspaces in practice ⋮ Obstructed thickenings and supermanifolds ⋮ Pictures from super Chern-Simons theory ⋮ \(\mathbb{A}^{0|1}\)-torsors, quotients by free \(\mathbb{A}^{0|1}\)-actions, and embeddings into \(\Pi\)-projective spaces and super-Grassmannians \(G(1|1, n|n)\) ⋮ Notes on fundamental algebraic supergeometry. Hilbert and Picard superschemes ⋮ Superstring field theory, superforms and supergeometry ⋮ \(A_\infty\)-algebra from supermanifolds

Cites Work

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• The geometry of \(\Pi\)-invertible sheaves
• Supersymmetric elliptic curves
• Supersymmetric elliptic and modular functions
• Vector bundles on complex projective spaces
• Projective superspaces in practice
• Supermoduli Space is Not Projected
• Projectivity and $ \mathscr D$-affinity of flag supermanifolds
• On Holomorphic Graded Manifolds

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