University of Connecticut

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Algebra Seminar
Weak Hyperbolicity Of Hypersurface Complements In Projective Spaces
Mihai Fulger (University Of Connecticut)

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

Storrs Campus

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.


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

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