Frobenius endomorphism
... other sorts of field extensions. Given an unramified finite extension L/K of local fields ... residue fields . Suppose L/K is an unramified extension of local fields, with ring of ... lying over φ, that L/K is unramified means by definition that the integers of ... prime ideals Φ of L that are unramified in L/K. Since the extension is unramified the decomposition group of Φ is ...
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Glossary of scheme theory
... étale if it is finite, flat and unramified. Finite morphism A morphism f is finite ... with the usual topological space product used. Unramified morphism For a point y in Y ... O Y,y . The morphism f is unramified if for all y in Y, n ...
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Hilbert class field
... math>K. is the maximal abelian unramified extension of $K.$ Note that in this context, 'unramified' is meant not only for the finite ...
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Branched covering
... −1 (W′) to W′, that is) is unramified. Depending on the context, we can take ... The hyperelliptic curves are prototypic examples. An unramified covering then is the occurrence of an ...
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Riemann-Hurwitz formula
... 0, 0, ... . In the case of an (unramified) covering map of surfaces π: S′ → ... no cover with N > 1 that is unramified everywhere: because that would give rise to ...
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Call prize   (translated from Japanese)
... 1951) 6th time ( 1960 year ) - Surge lung ("Unramified class field theory over function fields in ...
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Branched out body extension   (translated from German)
... the extension L/Q p normally (English unramified), otherwise branched out (English ramified). Is e ...
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Prym variety
... original form, it was applied to an unramified double covering of a Riemann surface, and ...
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Abhyankar's conjecture
... realised as a Galois group of L, unramified outside S containing s points, if and ...
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User:Mathbot/List of mathematical redlinks (U)
... Unquintiquadium -- Unquintnonium -- UN Unquintquintium -- Unquintquinttium -- Unquintum -- Unquintunum -- Unramified extension -- Unsolved Problems in Number Theory -- Unstable ...
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