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In mathematics, the Verschiebung or Verschiebung operator V is a homomorphism between affine commutative group schemes over a field of nonzero characteristic p. For finite group schemes it is the Cartier dual of the Frobenius homomorphism. It was introduced by Witt (1937) as the shift operator on Witt vectors taking (a0, a1, a2, ...) to (0, a0, a1, ...).…
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homomorphism verschiebung group frobenius operator witt 1937 schemes shift mathematics field finite dual vectors a0 a1 a2 german scheme doi
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