Đề tài " On the classi cation of isoparametric hypersurfaces with four distinct principal curvatures in spheres " pptx
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...
Đề tài " On the Julia set of a typical quadratic polynomial with a Siegel disk " ppt
... 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...
Đề tài " On the K-theory of local fields " ppt
... 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...
Tài liệu Đề tài " On the volume of the intersection of two Wiener sausages " ppt
... 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...
Tài liệu Đề tài " On the holomorphicity of genus two Lefschetz fibrations " pptx
... 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...
Tài liệu Đề tài " On the K2 of degenerations of surfaces and the multiple point formula " pptx
... 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,...
Tài liệu Đề tài " On the complexity of algebraic numbers I. Expansions in integer bases " ppt
... 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...
Đề tài " On the periods of motives with complex multiplication and a conjecture of GrossDeligne " pdf
... 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...
Đề tài " On the hardness of approximating minimum vertex cover " pot
... 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...
Đề tài " On the dimensions of conformal repellers. Randomness and parameter dependency " pot
... 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...