Hyperbolicity of the moduli of certain Fano threefolds
Philipp Licht
TL;DR
This paper proves the Shafarevich conjecture for a specific class of Fano threefolds, advancing understanding of their moduli and hyperbolic properties.
Contribution
It establishes the Shafarevich conjecture for Fano threefolds with Picard rank 1, index 1, and degree 4, a previously unresolved case.
Findings
Confirmed hyperbolicity of the moduli space for these Fano threefolds
Demonstrated finiteness of certain families of these threefolds
Extended the scope of the Shafarevich conjecture in algebraic geometry
Abstract
We prove the Shafarevich conjecture for Fano threefolds of Picard rank 1, index 1 and degree 4.
Peer Reviews
No public reviews on file for this paper yet. If you reviewed it on a platform where reviews are public (OpenReview, ICLR, NeurIPS, ICML), you can paste yours below so the community can read it here.
Videos
No videos yet. Explain this paper in a talk, walkthrough, or lecture? Add one.
Taxonomy
TopicsAlgebraic Geometry and Number Theory · Mathematical Dynamics and Fractals · Advanced Differential Equations and Dynamical Systems