Of limit key polynomials

نویسندگان

چکیده

Let ? be a valuation of arbitrary rank on the polynomial ring K[x] with coefficients in field K. We prove comparison theorems between MacLane–Vaquié key polynomials for valuations ??? and abstract ?. Also, some results invariants associated to limit are obtained. In particular, if char(K)=0, we show that all unbounded continuous families augmentations have numerical character equal one.

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ژورنال

عنوان ژورنال: Illinois Journal of Mathematics

سال: 2021

ISSN: ['1945-6581', '0019-2082']

DOI: https://doi.org/10.1215/00192082-8827671