Families of ordinary abelian varieties
... that every Tate-linear subvariety of the ordinary locus of a Hilbert modular variety, attached to a totally real number field, is the reduction of a Shimura subvariety. Our argument can be used to establish the other conjectures in the special case of subvarieties of a Hilbert modular variety, altho ...
... that every Tate-linear subvariety of the ordinary locus of a Hilbert modular variety, attached to a totally real number field, is the reduction of a Shimura subvariety. Our argument can be used to establish the other conjectures in the special case of subvarieties of a Hilbert modular variety, altho ...
Centralized Management and Processing Policy for Log Files
... stored. In order to do well to the data stored in the log files, one should do the three jobs as below. 5.1 To filtrate and extract The large amount of log data always confuse the administrator, so we should filter the large amount of log data, and then extract the log data worthy of being analyzed ...
... stored. In order to do well to the data stored in the log files, one should do the three jobs as below. 5.1 To filtrate and extract The large amount of log data always confuse the administrator, so we should filter the large amount of log data, and then extract the log data worthy of being analyzed ...
Elliptic Curves with Complex Multiplication and the Conjecture of
... clearly a left-inverse of the first, and it maps into p by Lemma 3.5. We only need show that the second map is also one-to-one. If we rewrite our Weierstrass equation for E with variables w = −1/y and z = −x/y we get a new equation a6 w3 + (a4 z + a3 )w2 + (a2 z 2 + a1 z − 1)w + z 3 = 0. Fix a value ...
... clearly a left-inverse of the first, and it maps into p by Lemma 3.5. We only need show that the second map is also one-to-one. If we rewrite our Weierstrass equation for E with variables w = −1/y and z = −x/y we get a new equation a6 w3 + (a4 z + a3 )w2 + (a2 z 2 + a1 z − 1)w + z 3 = 0. Fix a value ...
SECTION C Solving Linear Congruences
... Solving this equation gives x 3 . A linear congruence is an equation of the form ax b mod n The solution of this linear congruence is the set of integers x which satisfies this: ax b mod n Why is the solution a set of integers rather than a unique integer? Remember ax b mod n mea ...
... Solving this equation gives x 3 . A linear congruence is an equation of the form ax b mod n The solution of this linear congruence is the set of integers x which satisfies this: ax b mod n Why is the solution a set of integers rather than a unique integer? Remember ax b mod n mea ...