English

On the Abundance Problem for $3$-folds in characteristic $p>5$

Algebraic Geometry 2018-09-03 v3

Abstract

In this article we prove two cases of the abundance conjecture for 33-folds in characteristic p>5p>5: (i)(i) (X,Δ)(X, \Delta) is KLT and κ(X,KX+Δ)=1\kappa(X, K_X+\Delta)=1, and (ii)(ii) (X,0)(X, 0) is KLT, KX0K_X\equiv 0 and XX is not uniruled.

Keywords

Cite

@article{arxiv.1610.03403,
  title  = {On the Abundance Problem for $3$-folds in characteristic $p>5$},
  author = {Omprokash Das and Joe Waldron},
  journal= {arXiv preprint arXiv:1610.03403},
  year   = {2018}
}

Comments

With an Appendix by Christopher Hacon. Some reference updated and minor changes. This is the final version