Cone Theorem via Deligne-Mumford stacks

Details Cone Theorem via Deligne-Mumford stacks Cone Theorem via Deligne-Mumford stacks

2005-05-03

arxiv.org/abs/math/0505043v1

Mathematische Annalen, Volume 345 (2009), no. 3, 525--545

Mathematics

Algebraic Geometry

Scientific paper

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 $-(K_X+D)$-degree of $(K_X+D)$-negative extremal rays for
projective $\QQ$-factorial log terminal threefold pair $(X,D)$.

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