On the Adjunction Formula for $3$-folds in characteristic $p>5$

Omprokash Das; Christopher D. Hacon

doi:10.1007/s00209-016-1655-4

On the Adjunction Formula for $3$-folds in characteristic $p>5$

Algebraic Geometry 2016-05-24 v2

Authors: Omprokash Das , Christopher D. Hacon

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Abstract

In this article we prove a relative Kawamata-Viehweg vanishing-type theorem for PLT $3$ -folds in characteristic $p>5$ . We use this to prove the normality of minimal log canonical centers and the adjunction formula for codimension $2$ subvarieties on $\mathbb{Q}$ -factorial $3$ -folds in characteristic $p>5$ .

Keywords

adjunction formula 3-folds characteristic p Kawamata-Viehweg vanishing PLT singularities log canonical centers Q-factorial varieties

Cite

@article{arxiv.1505.05903,
  title  = {On the Adjunction Formula for $3$-folds in characteristic $p>5$},
  author = {Omprokash Das and Christopher D. Hacon},
  journal= {arXiv preprint arXiv:1505.05903},
  year   = {2016}
}

Comments

19 Pages. Comments are welcome. To appear in the Mathematische Zeitschrift

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