Algebraic Hyperbolicity and Lang-type loci in hypersurfaces

Abstract: In this talk, I will discuss joint work with Eric Riedl on algebraic hyperbolicity and Lang-type loci. I will describe an improvement of G. Xu's genus bounds which allow us to prove the algebraic hyperbolicity of very general quintic surfaces. The same technique allows us to obtain the classification of algebraically hyperbolic surfaces in certain toric threefolds. Finally, I will discuss Lang-type loci for algebraic hyperbolicity in very general hypersurfaces.

algebraic geometry

Audience: researchers in the topic

Comments: The discussion for Izzet Coskun’s talk is taking place not in zoom-chat, but at tinyurl.com/2021-02-19-ic (and will be deleted after ~3-7 days).

Stanford algebraic geometry seminar

Series comments: The seminar was online for a significant period of time, but for now is solely in person. More seminar information (including slides and videos, when available): agstanford.com