Exotic Torsion, Frobenius Splitting and the Slope Spectral Sequence

• Autores: Kirti Joshi
• Localización: Canadian mathematical bulletin, ISSN 0008-4395, Vol. 50, Nº 4, 2007, págs. 567-578
• Idioma: inglés
• DOI: 10.4153/cmb-2007-054-9
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• Resumen

  • 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