Infinitesimal Torelli for weighted complete intersections and certain Fano threefolds

Autor:	Licht, Philipp
Zdroj:	Beiträge zur Algebra und Geometrie / Contributions to Algebra and Geometry; 20230101, Issue: Preprints p1-31, 31p
Abstrakt:	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.
Databáze:	Supplemental Index
Externí odkaz:	Zobrazit plný text záznamu Full text from SpringerLink