Milnor-Witt cycle modules over an excellent DVR
نویسندگان
چکیده
The definition of Milnor-Witt cycle modules in [5] can easily be adapted over general regular base schemes. However, there are simple examples (see (2.9)) to show that Gersten complex fails exact for if the is not a field. goal this article that, restricted class an excellent DVR satisfying extra axiom, called here as R5, expected properties exactness and A1-invariance hold. Moreover R5 vacuously satisfied when field it also by KMW any base. As corollary, we obtain strict DVR.
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ژورنال
عنوان ژورنال: Journal of Algebra
سال: 2023
ISSN: ['1090-266X', '0021-8693']
DOI: https://doi.org/10.1016/j.jalgebra.2022.10.005