Infinitesimal Torelli for weighted complete intersections and certain Fano threefolds
Loading...
Date issued
Authors
Editors
Journal Title
Journal ISSN
Volume Title
Publisher
Reuse License
Abstract
We generalize the classical approach of describing the infinitesimal Torelli map in terms of multiplication in a Jacobi ring to the case of quasi-smooth complete intersections in weighted projective space. As an application, we prove that the infinitesimal Torelli theorem does not hold for hyperelliptic Fano threefolds of Picard rank 1, index 1, degree 4, and study the action of the automorphism group on cohomology. The results of this paper are used to prove Lang-Vojta’s conjecture for the moduli of such Fano threefolds in a follow-up paper.
Description
Keywords
Citation
Published in
Beiträge zur Algebra und Geometrie = Contributions to algebra and geometry, 65, Springer Nature, Berlin ; Heidelberg, 2023, https://doi.org/10.1007/s13366-022-00678-4