The de Rham-Witt complex and ๐-adic vanishing cycles
The de Rham-Witt complex and ๐-adic vanishing cycles
We determine the structure of the reduction modulo <inline-formula content-type="math/mathml"> <mml:math xmlns:mml="http://www.w3.org/1998/Math/MathML" alttext="p"> <mml:semantics> <mml:mi>p</mml:mi> <mml:annotation encoding="application/x-tex">p</mml:annotation> </mml:semantics> </mml:math> </inline-formula> of the absolute de Rham-Witt complex of a smooth scheme over a discrete valuation ring of mixed characteristic <inline-formula content-type="math/mathml"> <mml:math xmlns:mml="http://www.w3.org/1998/Math/MathML" alttext="left-parenthesis 0 comma p right-parenthesis"> <mml:semantics> <mml:mrow> <mml:mo โฆ