Đề tài " The main conjecture for CM elliptic curves at supersingular primes " pdf
Đề tài " The main conjecture for CM elliptic curves at supersingular primes " pdf
... Mathematics, 159 (2004), 447–464
The main conjecture for CM elliptic
curves at supersingular primes
By Robert Pollack and Karl Rubin*
Abstract
At a prime of ordinary reduction, the Iwasawa main ... reciprocity laws, Ann. of Math. 107 (1978) 235–254.
(Received November 14, 2002)
Annals of Mathematics
The main conjecture for CM
elliptic curves at
su...
Tài liệu Đề tài " The ionization conjecture in Hartree-Fock theory " pptx
... 573.
The variational equations (Euler-Lagrange equations) for the minimizer
was also given in [16]. Since the Hartree-Fock variational equations shall be
used later in this work, we shall derive them ... −Z|x|
−1
on the space
L
2
(
3
;
2
). There are many ground states since the spin can point in any
direction.)
THE IONIZATION CONJECTURE IN HARTREE-FOCK THEORY 521
Another fact...
Đề tài " The Hopf condition for bilinear forms over arbitrary fields " potx
... (D).
Except for the base cases in the previous paragraph, the argument for
the odd and even cases is identical. We give details only for the even case,
THE HOPF CONDITION FOR BILINEAR FORMS
953
and ... Z → Z for i =
n−1
2
.
Once again, one can give explicit generators for CH
i
(Q
2k
). For i = k, the
description of these generators is the same as in the odd ca...
Đề tài " The derivation problem for group algebras " pot
... that Φ(x) λ for all x, then one can show (using Theorem 1.1) that
Annals of Mathematics
The derivation problem
for group algebras
By Viktor Losert
THE DERIVATION PROBLEM FOR ... and on this subspace the formula for the dual
action of G is the same (this was used in the proof of Corollary 3.10).
Recall that βG (the Stone-
ˇ
Cech compactification of the disc...
Đề tài " The best constant for the centered Hardy-Littlewood maximal inequality" ppt
... where
the special intervals are located after the related F
i
’s. For example it shows
that there is a gap between F
i
and the first special interval of the form I
i,s
(if
any) that is at least ... that for some other ω
q
⊆
[
(A),w(A)] that covers the head of some pattern we had L
q
= L
q
.Wemay
assume that
(L
q
) < (L
q
). Then as before ω
q
must cover the head ω...
Đề tài " The subconvexity problem for Rankin-Selberg L-functions and equidistribution of Heegner points " ppt
... expected bound,
but fortunately, a delicate computation shows that it is compensated by the
contribution of the Eisenstein series (see [DFI8, §13]). The main problem then,
is to bound the off -diagonal ... (during the academic year 1999–2000 and the first
semester of 2000–2001), the Mathematics Department of Caltech (in April
2001), and the American Institute of Mathematics (i...
Đề tài " The Tits alternative for Out(Fn) II: A Kolchin type theorem " pot
... {A
k
} forms a polynomial sequence. Therefore, for all large k, A
k
starts at x.
Suppose next that the last operation is concatenation: A
k
= B
k
C
k
. Then
B
k
lifts to G
starting at x for ... endpoint of the A
k
’s in G).
Applying the statement of the lemma to {
A
k
} we learn that for all large k
there is a lift A
k
of A
k
that terminates at y. For infinitely m...
Đề tài " The Hasse principle for pairs of diagonal cubic forms " doc
... positive
volume. The latter observation ensures that the integral on the right-hand
Annals of Mathematics, 166 (2007), 865–895
The Hasse principle for
pairs of diagonal cubic forms
By J
¨
org ... an appropriate subset S of {1, ,s} with card(S) = 13, we may
therefore ensure that at most five of the forms Λ
j
with j ∈Sbelong to the
same equivalence class. Suppose that these 13 fo...
Đề tài "Iwasawa’s Main Conjecture for elliptic curves over anticyclotomic Zp-extensions" pot
... 0 for all rational primes not dividing N.
(2) The class s is ordinary at the primes |N
−
p.
(3) The class s is trivial at the primes |N
+
.
Caveat. Note that the group Sel
f,n
depends on the ... of the modular
parametrisation of E implies that the newform on Γ
0
(N
0
) attached to E is
p-isolated. By Ribet’s level-lowering theorem [Ri2], it follows that the G...
Tài liệu Đề tài " The resolution of the Nirenberg-Treves conjecture " docx
... the estimate (2.11). It is clear that we may assume that ∂
ξ
Re p(w
0
) =0,
in the microlocal case after a conical transformation. Then, we may use
Darboux’ theorem and the Malgrange preparation ... proves the result.
Annals of Mathematics, 163 (2006), 405–444
The resolution of the
Nirenberg-Treves conjecture
By Nils Dencker
Abstract
We give a proof of the Nirenberg-Treves c...