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Clear filtersIsDedekindDomain.HeightOneSpectrum.Extension.tensorAdicCompletionIntegersToAdicCompletion_range_eq_integers
Plain-language statement
The range of adicCompletionIntegers.tensorToAdicCompletion is π_w.
Source project: Fermat's Last Theorem
Person-level attribution pending.
IsDedekindDomain.HeightOneSpectrum.Extension.valued_adicCompletionSemialgHom
Plain-language statement
The local ramification index for the extension L_w/K_v is equal to the global ramification index for the extension w/v. In other words, if x in K_v and i:K_v->L_w then w(i(x))=v(x)^e where e is computed globally.
Source project: Fermat's Last Theorem
Person-level attribution pending.
IsDedekindDomain.HeightOneSpectrum.intValuation_comap
Plain-language statement
If w | v then for a β A we have w(a)=v(a)^e where e is the ramification index.
Source project: Fermat's Last Theorem
Person-level attribution pending.
IsDedekindDomain.HeightOneSpectrum.isClosed_baseChange_image_closure_range_algebraMap
Plain-language statement
The image of B β[A] π_v (the closure of B) in β_w L_w is closed.
Source project: Fermat's Last Theorem
Person-level attribution pending.
IsDedekindDomain.HeightOneSpectrum.range_baseChange_comp_tensorAdicCompletionTo_eq_pi
Plain-language statement
The image of B β[A] π_v in β_w L_w is β_w π_w.
Source project: Fermat's Last Theorem
Person-level attribution pending.
IsDedekindDomain.HeightOneSpectrum.range_tensorAdicCompletionIntegersTo_eq_closure_range_algebraMap
Plain-language statement
The image of B β[A] π_v in L β[K] K_v is the closure of the image of B.
Source project: Fermat's Last Theorem
Person-level attribution pending.