Birationally admissible families of stable minimal models with maximal variation have log general type bases, yielding stratified hyperbolicity of the KSBA moduli stack.
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Stratified Hyperbolicity of the moduli stack of stable minimal models, I
Birationally admissible families of stable minimal models with maximal variation have log general type bases, yielding stratified hyperbolicity of the KSBA moduli stack.