English

Stable pair, tropical, and log canonical compact moduli of del Pezzo surfaces

Algebraic Geometry 2010-03-16 v2

Abstract

We give a functorial normal crossing compactification of the moduli of smooth marked cubic surfaces entirely analogous to the Grothendieck-Knudsen compactification M0,nMˉ0,nM_{0,n} \subset \bar{M}_{0,n}.

Keywords

Cite

@article{arxiv.math/0702505,
  title  = {Stable pair, tropical, and log canonical compact moduli of del Pezzo surfaces},
  author = {Paul Hacking and Sean Keel and Jenia Tevelev},
  journal= {arXiv preprint arXiv:math/0702505},
  year   = {2010}
}

Comments

49 pages, 8 figures. v2: Added section 3 "Iitaka fibration for subvarieties of algebraic tori"