Notes on fundamental algebraic supergeometry. Hilbert and Picard superschemes

DOI10.1016/j.aim.2023.108890OpenAlexW3046279346MaRDI QIDQ2684537

Alexander Polishchuk, Daniel Hernandez Ruiperez, Ugo Bruzzo

Publication date: 16 February 2023

Published in: Advances in Mathematics (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/2008.00700

zbMATH Keywords

algebraic supergeometrybase change and semicontinuity for superschemesfiniteness of cohomology in algebraic supergeometryHilbert and Picard superschemesrelative Grothendieck dualitysuperperiod maps

Mathematics Subject Classification ID

String and superstring theories in gravitational theory (83E30) Families, moduli of curves (algebraic) (14H10) Supervarieties (14M30) Algebraic moduli of abelian varieties, classification (14K10) Fine and coarse moduli spaces (14D22)

Related Items

Jantzen filtration of Weyl modules for general linear supergroups ⋮ \(\mathbb{A}^{0|1}\)-torsors, quotients by free \(\mathbb{A}^{0|1}\)-actions, and embeddings into \(\Pi\)-projective spaces and super-Grassmannians \(G(1|1, n|n)\) ⋮ De Rham cohomology for supervarieties ⋮ The moduli space of stable supercurves and its canonical line bundle ⋮ Artin's theorems in supergeometry ⋮ A bound on the Hodge filtration of the de Rham cohomology of supervarieties

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