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On the adjunction formula for 3-folds in characteristic \(p>5\)

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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 two subvarieties on \({\mathbb {Q}}\)-factorial 3-folds in characteristic \(p>5\).

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Acknowledgments

This research was partially supported by the National Science Foundation research Grants Nos: DMS-1300750, DMS-1265285, FRG Grant No. DMS-1265261, and Simons Grant Award No. 256202.

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Authors and Affiliations

  1. School of Mathematics, Tata Institute of Fundamental Research, 1 Homi Bhabha Road, Colaba, Mumbai, 400005, India

    Omprokash Das

  2. Department of Mathematics, University of Utah, 155 S 1400 E, Salt Lake City, UT, 84112, USA

    Omprokash Das & Christopher D. Hacon

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  1. Omprokash Das
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  2. Christopher D. Hacon
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Correspondence to Omprokash Das.

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Das, O., Hacon, C.D. On the adjunction formula for 3-folds in characteristic \(p>5\) . Math. Z. 284, 255–269 (2016). https://doi.org/10.1007/s00209-016-1655-4

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