English

Cone Theorem via Deligne-Mumford stacks

Algebraic Geometry 2009-08-20 v1

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

Keywords

Cite

@article{arxiv.math/0505043,
  title  = {Cone Theorem via Deligne-Mumford stacks},
  author = {Jiun-Cheng Chen and Hsian-Hua Tseng},
  journal= {arXiv preprint arXiv:math/0505043},
  year   = {2009}
}
R2 v1 2026-07-22T17:18:52.041Z