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

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 $p>5$.

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

Cited by in corpus (2)

• Dual complex of log Fano pairs and its application to Witt vector cohomology
• On relative rational chain connectedness of threefolds with anti-big canonical divisors in positive characteristics