Abstract
This chapter focuses on multi-tensors of differential forms on the Hilbert modular variety and on its subvarieties. It presents an assumption where ΓK a Hilbert modular group associated with a totally real algebraic number field K of degree n > 1. TK is considered as a Hilbert modular variety Hn/ΓK. The chapter presents an extension of the known range of K for which an assertion (★) holds where (★) any subvariety in XK of codimension one is of general type. It is shown that if n ≥ 3, then (★) holds only with finite exceptions. It has also been shown that if the dimension n ≥ 3 is fixed, then (★) holds with finite exceptions. The chapter presents the main theorem which states that (★) holds if n > 26, or if n > 14 and the ideal in the maximal order of K generated by 2 is unramified at any prime of degree one. It also discusses Hilbert modular group, Hilbert modular form for Γ, modular groups, and the concepts related to irreducibility.
Sign-in/Register to access full text options 
Talk to us
Join us for a 30 min session where you can share your feedback and ask us any queries you have
Schedule a callMore From: Automorphic Forms and Geometry of Arithmetic Varieties
Disclaimer: All third-party content on this website/platform is and will remain the property of their respective owners and is provided on "as is" basis without any warranties, express or implied. Use of third-party content does not indicate any affiliation, sponsorship with or endorsement by them. Any references to third-party content is to identify the corresponding services and shall be considered fair use under The CopyrightLaw.
