Đề tài " On the classi cation of isoparametric hypersurfaces with four distinct principal curvatures in spheres " pptx

... 1011–1024 On the classi cation of isoparametric hypersurfaces with four distinct principal curvatures in spheres By Stefan Immervoll Abstract In this paper we give a new proof for the classi cation ... 2006) Annals of Mathematics On the classi_ cation of isoparametric hypersurfaces with four distinct principal curvatures in spher...

Ngày tải lên: 22/03/2014, 20:21

... nor any of the definitions to follow depends on a particular choice of H. This is simply because the constructions do not involve the values of F on D. The main purpose of introducing F for the following constructions ... argument. This is one of the reasons why we adopt the original construction of [P2] in what follows. Here is the strategy of this construc...

Ngày tải lên: 14/03/2014, 22:20

... Madsen* ON THE K-THEORY OF LOCAL FIELDS 19 We next extend Waldhausen’s fibration theorem to the present situation. We follow the original proof in [48, §1.6], where also the notion of a cylinder functor ... establish a connection between the Quillen K-theory of certain local fields and the de Rham-Witt complex of their rings of integers with logarithmic poles at t...

Ngày tải lên: 22/03/2014, 15:21

... and generalization of the proof of Proposition 3 in [3]. We outline the main steps, while skipping the details. Step 1. One of the basic ingredients in the proof in [3] is to approximate the volume of the Wiener ... second term on the right-hand side of the analogue of (2.93). 4. Proof of Theorem 3 In Sections 4–6 we prove Theorems 3–5. The proof fo...

Ngày tải lên: 14/02/2014, 17:20

... an intrinsic measure for the size of the neighbourhood V of the singular set on noncontracted components is the diameter of ϕ(V )inM; on contracted components one may take the smallest ε with ... It is instructive to compare the linearizations of the equa- tions characterizing J-holomorphic cycles of the coordinate dependent descrip- tion in this proposition...

Ngày tải lên: 16/02/2014, 05:20

... FLAMINI, AND R. MIRANDA If there is a component of type (i), then the intersection in codimension one of any two distinct components can only be a line. If there is no component of type (i), then ... (i), then the intersection in codimension one of any two distinct components is either a line or a (possibly reducible) conic. Moreover, if two components meet along a conic,...

Ngày tải lên: 16/02/2014, 06:20

... depends only on x and not on the choice of the number field K containing the coordinates of x; see e.g. [18]. We use the following formulation of the Subspace Theorem over number fields. In the sequel, ... [17], concerning the values of theta series at algebraic points. The proofs of Theorems 1 to 4 are given in Section 5. The key point for them is a new tran...

Ngày tải lên: 16/02/2014, 06:20

... precisely in the last section of this paper. The main contribution of this paper is the proof of a (slight variant of) the conjecture of Gross-Deligne, in the situation where the Hodge structure with complex ... Another way to prove this equality is to apply (9) to the definition of the function η. 3.2. The proofs. The notations of Sections 1 and 2, and...

Ngày tải lên: 14/03/2014, 22:20

... defining and stat- ing theorems that were already described in the introduction. As described in the introduction, these theorems come from distinct fields, in particular harmonic analysis of Boolean ... monotone then [F] 3 4 C is monotone. • If F is intersecting, and p ≤ 1 2 , then [F] 3 4 C is intersecting. Proof. The first assertion is immediate. For the second assertion, as...

Ngày tải lên: 15/03/2014, 09:20

... and mappings. We establish a Perron-Frobenius theorem through the contraction of cones of ‘real-analytic’ functions. The pressure function may then be calculated as the averaged action of the operator ... sub- exponential (Condition (T5) of Assumption 3.4). Condition (T4) of that as- sumption is a.s. verified by the hypotheses stated in our Theorem. It follows by Theorem...

Ngày tải lên: 15/03/2014, 09:20