English

On the geography of threefolds of general type

Algebraic Geometry 2008-02-08 v1

Abstract

Let XX be a complex nonsingular projective 3-fold of general type. We show that there are positive constants cc, cc' and m1m_1 such that χ(ωX)c\Vol(X)\chi (\omega _X)\geq -c\Vol (X) and Pm(X)cm3\Vol(X)P_m(X)\geq c'm^3\Vol (X) for all mm1m\geq m_1.

Keywords

Cite

@article{arxiv.0802.0884,
  title  = {On the geography of threefolds of general type},
  author = {Jungkai A. Chen and Christopher D. Hacon},
  journal= {arXiv preprint arXiv:0802.0884},
  year   = {2008}
}