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On Massey products and rational homogeneous varieties.

Authors :
Rizzi, Luca
Source :
Kyoto Journal of Mathematics. Jun2024, Vol. 64 Issue 2, p421-457. 37p.
Publication Year :
2024

Abstract

We study the equivalence between the infinitesimal Torelli theorem for smooth hypersurfaces in rational homogeneous varieties with Picard number 1 and the theory of generalized Massey products. This equivalence shows that the differential of the period map vanishes on an infinitesimal deformation if and only if certain twisted differential forms are elements of the Jacobian ideal of the hypersurface. We also prove an infinitesimal Torelli theorem result for smooth hypersurfaces in log parallelizable varieties. [ABSTRACT FROM AUTHOR]

Details

Language :
English
ISSN :
21562261
Volume :
64
Issue :
2
Database :
Academic Search Index
Journal :
Kyoto Journal of Mathematics
Publication Type :
Academic Journal
Accession number :
176111596
Full Text :
https://doi.org/10.1215/21562261-2023-0019