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86 sonuçtan 1-3 arası sonuçlar
Sayfa 35
Let T be an algebraic torus defined over a field k . Suppose that k is a finite
extension of either the field of p - adic numbers or the field of rational numbers .
An explicit construction of a natural integral model To of T is presented . The
model To ...
Let T be an algebraic torus defined over a field k . Suppose that k is a finite
extension of either the field of p - adic numbers or the field of rational numbers .
An explicit construction of a natural integral model To of T is presented . The
model To ...
Sayfa 36
In the next section ( S2 ) , we recall the basic definitions and results from the
theory of algebraic tori defined over a number field k of characteristic zero ; cf . (
22 , 23 ) . Let o C k , suppose k is the field of fractions of the ring 0 , and let the
torus T ...
In the next section ( S2 ) , we recall the basic definitions and results from the
theory of algebraic tori defined over a number field k of characteristic zero ; cf . (
22 , 23 ) . Let o C k , suppose k is the field of fractions of the ring 0 , and let the
torus T ...
Sayfa 45
ARITHMETIC APPLICATIONS ( NUMBER FIELDS ) 1 . In this section , the field k
is a finite extension of the field Q ; let o denote the ring of integers of the field k ,
and let T be an algebraic torus defined over k . We assume that the torus T splits
...
ARITHMETIC APPLICATIONS ( NUMBER FIELDS ) 1 . In this section , the field k
is a finite extension of the field Q ; let o denote the ring of integers of the field k ,
and let T be an algebraic torus defined over k . We assume that the torus T splits
...
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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