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Algebraic hyperbolicity of Moduli spaces of smooth varieties of general type
ÕªÒª£ºIn this talk, I will introduce the hyperbolicity part of the Shafarevich Conjecture, which claims that a family of smooth curves of $g>1$ over $\mathbb{C}^*$ must be isotrivial, and its generalizations. In particular, I'll show our recent result, which shows that the log-Kodaira dimension of the base space of a family of smooth projective varieties is no less than the family's variation.