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69 sonuçtan 1-3 arası sonuçlar
Sayfa 42
Suppose the torus T defined over k splits over an unramified extension Lk . Then
To = Spec ( D [ T ] ) " , where I = Gal ( L | k ) stands for the Galois group of the
extension L | k . Proof . Since the extension L k is unramified and gx E T for xe T
and ...
Suppose the torus T defined over k splits over an unramified extension Lk . Then
To = Spec ( D [ T ] ) " , where I = Gal ( L | k ) stands for the Galois group of the
extension L | k . Proof . Since the extension L k is unramified and gx E T for xe T
and ...
Sayfa 43
Suppose Ll k is a normal extension of fields , T : = RĪGm , and To is the standard
o - integral model of the torus T . We denote by Yo the identity component of the
scheme Y : = Tp . Let 1 and k stand for the residue fields of the fields L and k ...
Suppose Ll k is a normal extension of fields , T : = RĪGm , and To is the standard
o - integral model of the torus T . We denote by Yo the identity component of the
scheme Y : = Tp . Let 1 and k stand for the residue fields of the fields L and k ...
Sayfa 198
We say that a weak isomorphism y : W ( m ) → W ( m ) is an m - extension of y if W
( IA ) = In , and V ( A ) = 6 ( A ) for all A E WM , where A = A ( m ) ( V ) , A ' = A ( m )
( V ' ) , and yom is the weak isomorphism from Wm to ( W ' ) " induced by 6 .
We say that a weak isomorphism y : W ( m ) → W ( m ) is an m - extension of y if W
( IA ) = In , and V ( A ) = 6 ( A ) for all A E WM , where A = A ( m ) ( V ) , A ' = A ( m )
( V ' ) , and yom is the weak isomorphism from Wm to ( W ' ) " induced by 6 .
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algebraic analytic apply assume basis boundary bounded called chain homotopy closed coefficients complex computation condition connection Consequently consider constant construction contains continuous convex corresponding defined definition deformation denote determined differential domain element equal equation equivalence estimate example exists extension fact field finite fixed formula function given identity implies inequality integral intersection introduce invariant inverse isomorphism Lemma linear Math Mathematical matrix measure metric Moreover natural normal Observe obtain Obviously operator orientation particular periodic positive present problem projective Proof properties Proposition prove regular relation Remark respectively result ring satisfies scheme sequence singular smooth solutions space standard statement Subsection suffices Suppose takes Theorem theory transformation true twists unique vector weight zero