Abstract
The De Rham-Witt complex is a powerful instrument for studying the crystalline cohomology of a smooth projective variety over a perfect field of positive characteristic. In [9] the De Rham-Witt complex is constructed for schemes on which some prime number p is zero. Here in section 2 we construct on every scheme X on which 2 is invertible the generalized De Rham-Witt complex W Ω X this is a Zariski sheaf of anti-commutative differential graded algebras with the additional structures and properties described in (2.1)–(2.6). Section 3 gives the (obvious) definition of the relative generalized De Rham-Witt complex W Ω X/S for f: X → S a morphism of schemes over Z[1/2].
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Stienstra, J. (1991). The Generalized De Rham-Witt Complex and Congruence Differential Equations. In: van der Geer, G., Oort, F., Steenbrink, J. (eds) Arithmetic Algebraic Geometry. Progress in Mathematics, vol 89. Birkhäuser, Boston, MA. https://doi.org/10.1007/978-1-4612-0457-2_16
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DOI: https://doi.org/10.1007/978-1-4612-0457-2_16
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