id author title date pages extension mime words sentence flesch summary cache txt 3j33320104h Wern Yeen Yeong Algebraic Hyperbolicity of Very General Hypersurfaces and Their Complements 2023 .txt text/plain 317 12 43 More precisely, this circle of conjectures predicts that a variety of general type is hyperbolic outside of a proper subvariety called an exceptional locus, which may be empty if its canonical bundle has enough positivity. In this dissertation, we make several advances to the study of these conjectures with respect to the notion of algebraic hyperbolicity as defined by Demailly. cache/3j33320104h.txt txt/3j33320104h.txt