Autoren:	Licht, Philipp
Titel:	Lang-Vojta's conjecture for the moduli of Fano threefolds of Picard rank 1, index 1 and degree 4
Online-Publikationsdatum:	5-Jan-2023
Erscheinungsdatum:	2023
Sprache des Dokuments:	Englisch
Zusammenfassung/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-Sachgruppe:	510 Mathematik 510 Mathematics
Veröffentlichende Institution:	Johannes Gutenberg-Universität Mainz
Organisationseinheit:	FB 08 Physik, Mathematik u. Informatik
Veröffentlichungsort:	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
Publikationstyp:	Dissertation
Nutzungsrechte:	Urheberrechtsschutz
Informationen zu den Nutzungsrechten:	http://rightsstatements.org/vocab/InC/1.0/
Umfang:	vii, 63 Seiten
Enthalten in den Sammlungen:	JGU-Publikationen