### Algebra SeminarWeak Hyperbolicity Of Hypersurface Complements In Projective SpacesMihai Fulger (University Of Connecticut)

Wednesday, September 15, 2021
11:15am – 12:05pm

Storrs Campus
MONT313

A complex manifold is Kobayashi hyperbolic (KH) if a certain pseudometric is in fact a metric. For projective manifolds, being KH is equivalent to all holomorphic functions from the complex plane to the manifold being constant, a condition called Brody hyperbolicity (BH). For noncompact manifolds BH may be a weaker condition that KH. Not many examples of KH (or BH) manifolds are known. The literature has focused on generic hypersurfaces and their complements in projective spaces, guided by a conjecture due to Green-Griffiths-Lang. Here we focus on the case of complements in $$\mathbb P^3$$ and improve on known bounds on the degree of the hypersurface that guarantee a weak version of hyperbolicity for its complement. This is joint work with Gunhee Cho.

Contact:

mihai.fulger@uconn.edu

Algebra Seminar (primary), College of Liberal Arts and Sciences, UConn Master Calendar