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...
Ngày tải lên: 28/03/2014, 22:20
... 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...
Ngày tải lên: 14/02/2014, 16:20
... (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...
Ngày tải lên: 06/03/2014, 08:21
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...
Ngày tải lên: 06/03/2014, 08:21
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...
Ngày tải lên: 14/03/2014, 22:20
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...
Ngày tải lên: 22/03/2014, 16:20
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...
Ngày tải lên: 22/03/2014, 20:20
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...
Ngày tải lên: 22/03/2014, 20:21
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...
Ngày tải lên: 06/03/2014, 08:21
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...
Ngày tải lên: 16/02/2014, 05:20