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 2021/05/14)
Abstract: For a scheme X defined over the length 2 ptypical Witt vectors W (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 X , and behave as if they were the sheaf of differentials of X over a deeper base below W (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. 2 0 2


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