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Arithmetic jet spaces

We extend Borger's construction of algebraic jet spaces to allow for an arbitrary prolongation sequence, clarify the relation between Borger's and Buium's jet spaces and compare them in the extended sense. As a result, we strengthen a result of Buium on the relation between Greenberg's transform and the special fiber of jet spaces, including the ramified case.

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Arithmetic jet spaces6 visible / 6 total nodes / 8 links
Co-authorshipCo-authorshipCo-authorshipAuthorshipAuthorshipAuthorshipTopic signalTopic signalWArithmetic jet spacespreprint / 2020AAlessandra BertapelleResearcherAEmma PreviatoResearcherAArnab SahaResearcherTmath.NT5493 worksTmath.AG5393 works
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Arithmetic jet spaces

preprint / 2020

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