Greenberg代数与分歧Witt向量
Greenberg algebras and ramified Witt vectors
摘要:
设O是具有有限个剩余域k的混合特征的完全离散赋值环.研究了O上的Greenberg代数与O上分歧Witt向量概型的特殊纤维之间的一个自然态射。它是一个具有准无穷小核的泛同胚,在某些情况下可以被显式描述。
英文摘要:
Let O be a complete discrete valuation ring of mixed characteristic and with finite residue field k. We study a natural morphism between the Greenberg algebra of O and the special fiber of the scheme of ramified Witt vectors over O. It is a universal homeomorphism with pro-infinitesimal kernel that can be explicitly described in some cases.
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