Đề tài " A resolution of the K(2)-local sphere at the prime 3 " pot

... proof, note that the case of a general finite subgroup H 2 follows by passing to H 2 -invariants. Annals of Mathematics A resolution of the K(2)-local sphere at the prime 3 By P. Goerss, ... homotopy theory of the sphere, at least after localization at the second Morava K-theory K(2). At the prime 3, we write the spectrum L K(2) S 0 as th...

Ngày tải lên: 22/03/2014, 20:20

... two quasi-regular tetrahedra that share a face. The same convex body may also be viewed as three quarters that share a diagonal, as in Frame (b). Annals of Mathematics A proof of the Kepler ... diagonals is fully translation invariant in the sense that if one octahedron is a translate of another (whether or not they belong to the same saturated packing), then the...

Ngày tải lên: 22/03/2014, 20:20

... of i and j is in S(α). Again, assume that A ∈ B r , α is an eigenmatrix of ad(H α ) with eigenvalue λ A and that A i,j =0. 1. j>i.Weconsider the submatrix of A of the form  A i,i A i,j A j,i A j,j  . The ... not always nonpositive. (Compare it with the fact that adH always stabilizes Y when H and Y are part of a Jacobson-Morosov triple, and that the...

Ngày tải lên: 28/03/2014, 22:20

... (A 2 ) k are real numbers. There is atypical example of an HESW A when A is a diagonal matrix having the same imaginary quaternion (say I) in the main diagonal and the anticommuting matrices are symmetric ... that in this case the entries in the main diagonal are imaginary quaternions. Furthermore A 2 is a Hermitian symmetric matrix and therefore the entries in the...

Ngày tải lên: 29/03/2014, 07:20

... boundary ∂Ω, and moreover that the invariant is un- changed under perturbations of the domain (Theorem 1). We also show that the same invariant appears as the coefficient of the logarithmic term of ... kernels and a theorem of Tian, Internat. Math. Res. Notices 1998, no. 6, 31 7 33 1. (Received September 16, 20 03) Annals of Mathematics Logarithmic singularity of...

Ngày tải lên: 16/02/2014, 05:20

... show that they imply (3. 31). The first statement is that outside an event of probability at most s −K−1 it is the case that A 1 (s, t) ⊃ A 2 (s, t, y). (3. 34) The second statment is that (3. 35) A 1 (s, ... formulates the meaning of at least as large’ here as a precise probability estimate. Step 3 and Lemma 4 then prove that this probability estimate indeed holds. I...

Ngày tải lên: 16/02/2014, 06:20

... special cases. In the first article [I], we laid out the foundations of the process. We also stated a series of local and global theorems, which to- gether amount to a stabilization of each of the ... reader can consult the proof of Lemma 5.2 of [A2 ] and the discussion at the end of Section 10 of [AC].) The terms in the expansion therefore vanish. The...

Ngày tải lên: 05/03/2014, 23:20

... Mathematics Numerical characterization of the K¨ahler cone of a compact K¨ahler manifold By Jean-Pierre Demailly and Mihai Paun NUMERICAL CHARACTERIZATION OF THE K ¨ AHLER CONE 1265 where ... connection. Of course, once this is proved, one can apply again the result on each stratum S ν instead of S to see that there is a countable stratification of S such that...

Ngày tải lên: 05/03/2014, 23:20

... Z)  ε. The reader may care to recall the definitions of d(f, Z) and of f Z at this point: they are given at the start of Section 3. QUANTITATIVE IDEMPOTENT THEOREM 1 037 The main result of this ... refinement of) Ruzsa’s analogue of Freiman’s theorem, which gives a fairly strong characterisation of subsets A ⊆ F n 2 satisfying a small doubling condition |A +...

Ngày tải lên: 22/03/2014, 20:21

... By Masahiko Miyamoto THE MOONSHINE VERTEX OPERATOR ALGEBRA 5 53 Lemma 3. 7. If a VOA V contains a code VOA M D and D contains a codeword δ of weight 2, then CV contains an automorphism g satisfying g ... groups. At the end of the paper, we calculate the character of a 3C element of the Monster simple group. 1. Introduction All vertex operator algebras (VOAs) (V,...

Ngày tải lên: 28/03/2014, 22:20