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66 sonuçtan 1-3 arası sonuçlar
Sayfa 36
Under these assumptions , we construct the standard o - integral model of the k -
torus T . Our approach , which emerged from a series of papers by Voskresenskis
and Fomina ( 5 , 25 ] ( cf . also ( 23 , 24 ] ) , involves the theory of Hopf algebras ...
Under these assumptions , we construct the standard o - integral model of the k -
torus T . Our approach , which emerged from a series of papers by Voskresenskis
and Fomina ( 5 , 25 ] ( cf . also ( 23 , 24 ] ) , involves the theory of Hopf algebras ...
Sayfa 46
Theorem 2 . The affine o - scheme To : = Spec A is isomorphic to the standard
model of the torus T in the sense of Definition 3 . Proof . Since the scheme Tip ) is
isomorphic to the standard ( p ) - model of T , and the scheme T ( p ) is isomorphic
...
Theorem 2 . The affine o - scheme To : = Spec A is isomorphic to the standard
model of the torus T in the sense of Definition 3 . Proof . Since the scheme Tip ) is
isomorphic to the standard ( p ) - model of T , and the scheme T ( p ) is isomorphic
...
Sayfa 48
COMPARISON OF THE STANDARD INTEGRAL MODEL WITH THE NÉRON -
RAYNAUD MODEL 1 . In this section , k is either a number field or a local field ,
and T is an algebraic torus of dimension d defined over the field k . As before , o
is ...
COMPARISON OF THE STANDARD INTEGRAL MODEL WITH THE NÉRON -
RAYNAUD MODEL 1 . In this section , k is either a number field or a local field ,
and T is an algebraic torus of dimension d defined over the field k . As before , o
is ...
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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