Exotic torsion, Frobenius splitting and the slope spectral sequence

Details Exotic torsion, Frobenius splitting and the slope spectral sequence Exotic torsion, Frobenius splitting and the slope spectral sequence

2001-10-05

arxiv.org/abs/math/0110069v1

Mathematics

Algebraic Geometry

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In this note we show that Frobenius split smooth, projective threefolds are Hodge-Witt (using a criterion for the degeneration of the slope spectral sequence of smooth projective threefolds which we prove), and that smooth, projective Frobenius split varieties do not have exotic torsion in their slope spectral sequence. We also record a few simple observations on Frobenius split threefolds. This paper complements authors paper with C. S. Rajan ``On Frobenius splitting and ordinarity'' which is also available on this archive.

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