Exotic torsion, frobenius splitting and the slope spectral sequence

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Abstract

In this paper we show that any Frobenius split, smooth, projective threefold over a perfect field of characteristic p > 0 is Hodge-Witt. This is proved by generalizing to the case of threefolds a well-known criterion due to N. Nygaard for surfaces to be Hodge-Witt. We also show that the second crystalline cohomology of any smooth, projective Frobenius split variety does not have any exotic torsion. In the last two sections we include some applications.

Original languageEnglish (US)
Pages (from-to)567-578
Number of pages12
JournalCanadian Mathematical Bulletin
Volume50
Issue number4
Publication statusPublished - Dec 2007

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Keywords

  • Crystalline cohomology
  • Exotic torsion
  • Frobenius splitting
  • Hodge-Witt
  • Slope spectral sequence
  • Threefolds

ASJC Scopus subject areas

  • Mathematics(all)

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