Cone Theorem via Deligne-Mumford stacks
Jiun-Cheng Chen, Hsian-Hua Tseng
Abstract
We prove the cone theorem for varieties with LCIQ singularities using deformation theory of stable maps into Deligne-Mumford stacks. We also obtain a sharper bound on -(KX+D)-degree of (KX+D)-negative extremal rays for projective -factorial log terminal threefold pair (X,D).
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