New outlook on Mori theory, II

Mathematics – Algebraic Geometry

Scientific paper

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Scientific paper

In this note we prove that all the fundamental theorems of Mori theory follow
quickly from the finite generation of adjoint rings with big boundaries, which
was recently proved by a self-contained argument based on extension theorems
and induction on the dimension. Thus, we give a new and more efficient
organization of higher dimensional algebraic geometry.

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