Authors:	Licht, Philipp
Title:	Lang-Vojta's conjecture for the moduli of Fano threefolds of Picard rank 1, index 1 and degree 4
Online publication date:	5-Jan-2023
Year of first publication:	2023
Language:	english
Abstract:	We verify Lang-Vojta's conjecture for the moduli of Fano threefolds of Picard rank 1, index 1 and degree 4. This leads us to studying the infinitesimal Torelli problem for quasi-smooth weighted complete intersections. We give a proof for the fact that the infinitesimal Torelli map can be described as a multiplication in the associated Jacobi ring. We also study the geometry of the moduli stack and show that it is stratified via the two types of such Fano threefolds given by Iskovskikh's classification. Furthermore, we work on the persistence conjecture. We generalize a criterion that says that geometric hyperbolicity implies the persistence of arithmetic hyperbolicity to the case of algebraic stacks.
DDC:	510 Mathematik 510 Mathematics
Institution:	Johannes Gutenberg-Universität Mainz
Department:	FB 08 Physik, Mathematik u. Informatik
Place:	Mainz
ROR:	https://ror.org/023b0x485
DOI:	http://doi.org/10.25358/openscience-8507
URN:	urn:nbn:de:hebis:77-openscience-556ef5fe-5dc3-48d2-ae25-4d21ad3064905
Version:	Original work
Publication type:	Dissertation
License:	In Copyright
Information on rights of use:	http://rightsstatements.org/vocab/InC/1.0/
Extent:	vii, 63 Seiten
Appears in collections:	JGU-Publikationen