Arithmetic differential operators on a semistable model of ${\mathbb P}^1$
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Abstract
In this paper we study sheaves of logarithmic arithmetic differential opera- tors on a particular semistable model of the projective line. The main result here is that the first cohomology group of these sheaves contains a non-torsion element. This shows that the model is not D-affine for such differential operators.
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This record is for a(n) postprint of an article published in Mathematische Zeitschrift on 2018-11-14; the version of record is available at https://doi.org/10.1007/s00209-018-2171-5.
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Patel, Deepam, et al. "Arithmetic differential operators on a semistable model of ${\mathbb P}^1$." Mathematische Zeitschrift, 2018-11-14, https://doi.org/10.1007/s00209-018-2171-5.
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Mathematische Zeitschrift