带提升和分段的乘法有值差分域中的畸变特性

arXiv - MATH - Logic Pub Date : 2024-09-16 DOI:arxiv-2409.10406

Christoph Kesting

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引用次数: 0

摘要

我们证明了带有附加残差域提升映射的帕尔乘法有值差分域的相对量词消去。此外，我们把扬克和西蒙对有价域的 $\mathrm{NIP}$ 转移结果推广到 $\mathrm{NTP}_2$ 来证明，当且仅当值群和残差域是 $\mathrm{NTP}_2$ 时，上述有价差分域才是 $\mathrm{NTP}_2$ 。

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Tameness Properties in Multiplicative Valued Difference Fields with Lift and Section

We prove relative quantifier elimination for Pal's multiplicative valued difference fields with an added lifting map of the residue field. Furthermore, we generalize a $\mathrm{NIP}$ transfer result for valued fields by Jahnke and Simon to $\mathrm{NTP}_2$ to show that said valued difference fields are $\mathrm{NTP}_2$ if and only if value group and residue field are.

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arXiv - MATH - Logic

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