Math @ Duke

Publications [#345763] of Joseph D Rabinoff
Papers Published
 Dupuy, T; Katz, E; Rabinoff, J; ZureickBrown, D, Total pdifferentials on schemes over Z/p^{2},
Journal of Algebra, vol. 524
(April, 2019),
pp. 110123 [doi]
(last updated on 2021/12/07)
Abstract: For a scheme X defined over the length 2 ptypical Witt vectors W2(k) of a characteristic p field, we introduce total pdifferentials which interpolate between Frobeniustwisted differentials and Buium's pdifferentials. They form a sheaf over the reduction X0, and behave as if they were the sheaf of differentials of X over a deeper base below W2(k). This allows us to construct the analogues of Gauss–Manin connections and Kodaira–Spencer classes as in the Katz–Oda formalism. We make connections to Frobenius lifts, Borger–Weiland's biring formalism, and Deligne–Illusie classes.


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