On the infinitesimal Torelli problem of elliptic surfaces

DOI10.1215/kjm/1250521474zbMath0532.14019OpenAlexW1591563964MaRDI QIDQ788786

Masa-Hiko Saito

Publication date: 1983

Published in: Journal of Mathematics of Kyoto University (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1215/kjm/1250521474

zbMATH Keywords

elliptic surfacescompact complex surfaceHodge structureKodaira surfacessecond cohomologyelliptic bundleinfinitesimal Torelli problem

Mathematics Subject Classification ID

Moduli, classification: analytic theory; relations with modular forms (14J15) Compact complex surfaces (32J15) Transcendental methods, Hodge theory (algebro-geometric aspects) (14C30) Deformations of complex structures (32G05) Special surfaces (14J25) Transcendental methods of algebraic geometry (complex-analytic aspects) (32J25)

Related Items (10)

Weak global Torelli theorem for certain weighted projective hypersurfaces ⋮ Extremal elliptic surfaces and infinitesimal Torelli ⋮ Bielliptic curves of genus three and the Torelli problem for certain elliptic surfaces ⋮ Generic Torelli and local Schottky theorems for Jacobian elliptic surfaces ⋮ Degeneration of Kunev surfaces. I ⋮ Modular forms from Noether-Lefschetz theory ⋮ Reconstruction of general elliptic K3 surfaces from their Gromov–Hausdorff limits ⋮ Complex varieties for which the Chow group mod $n$ is not finite ⋮ Infinitesimal Torelli for elliptic surfaces revisited ⋮ On the failure of variational Torelli for regular elliptic surfaces with a section

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