Đề tài " Runge approximation on convex sets implies the Oka property " pptx

... that each of them implies CAP — one uses the given condition to linearize the approximation problem and thereby reduce it to the classical Oka- Weil approximation theorem for sections of holomorphic ... sections from complex subvarieties, Math. Z. 236 (2001), 43–68. Annals of Mathematics Runge approximation on convex sets implies the Oka property By Fra...

Ngày tải lên: 06/03/2014, 08:21

... dimension of C(ψ). These results constitute the first precise and general results in the theory of simultaneous Diophantine approximation on manifolds. Contents 1. Introduction 1.1. Background and the ... of Theorem 6 modulo Theorem 7. This is trivial. Given the hy- potheses of Theorem 7, the hypotheses of Theorem 6 are clearly satisfied. Fix an interval I ⊆ I 0 . By Theorem 7, th...

Ngày tải lên: 15/03/2014, 09:20

... integration the diagonal entries of the matrix t are given by the arguments of ˜ f, and the strictly upper triangular entries of t are variables of integration. To the cone P k one can associate the ... Definition 1.1, one can reformulate Theorem 4.5 for Radon transforms R, R ∗ . We keep the notation used in Theorem 4.5. Theorem 4.6. Suppose that f and ϕ are -zonal integrable fu...

Ngày tải lên: 14/02/2014, 17:20

... ),σ (m  ) (Q)}. Proof. The Poisson structure on T ∗ M 0 is induced from the Poisson struc- ture on A ∗ . In turn, the Poisson structure on T ∗ M 0 determines the Poisson structure on A ∗ , because ... metric on A or on the function χ and neither does the vector representation π M . Then, by using Theorem 3.2, we see that the proof is the same for classical operato...

Ngày tải lên: 16/02/2014, 06:20

... through the correlation kernel of the original process. Thus, one way to obtain the correlation functions for the two-component log-gas is to apply the complementation principle to the (one-component) ... correlation functions. Since the correlation functions of P define P uniquely, we will be solving Problem 4 ′ . Find the correlation functions of P. (g) Two correlation kernel...

Ngày tải lên: 06/03/2014, 08:21

... dependence on the weights. As noted in Section 18 the K¨ahler structure on Y/C ∗ induces a Sasakian structure on the link L F such that the infinitesimal generator of the weighted circle action defined on ... a m is relatively prime to all the other a i s. By easy computation, the condition of Theorem 34 is satisfied if 2c m−2 <a m < 2c m−1 − 2. The relatively prime...

Ngày tải lên: 15/03/2014, 09:20

... strict, so there is no reason to expect the corresponding result to hold in the quasi-abelian context. 5. Stability conditions This section introduces the idea of a stability condition on a triangulated category, ... from the notation and write φ ± (E) and m(E). The following result shows the relationship between t-structures and sta- bility conditions. Proposition 5.3. To give...

Ngày tải lên: 15/03/2014, 09:20

... Core(φ(C 1 ),φ(C 2 ))  ≤ A 3.4. Construction of the 2-complex X. The 0-skeleton of X. Consider the action of G on QE(T ). The 0-skeleton X 0 consists of the union of G-orbits of 1-quasi-edges ... the word metric and X is a metric space quasi-isometric to G then there is a cobounded, proper quasi-action of G on X; the constants for this quasi-action depend only on the qu...

Ngày tải lên: 28/03/2014, 22:20

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Ngày tải lên: 24/04/2014, 17:29