Đề tài " On deformations of associative algebras " potx
Đề tài " On deformations of associative algebras " potx
... )
Annals of Mathematics
On deformations of
associative algebras
By Roman Bezrukavnikov and Victor Ginzburg*
Annals of Mathematics, 166 (2007), 533–548
On deformations of associative algebras
By ... a-bimodule
extensions of a by J/J
2
. The class of the extension in (1.1.4) may be viewed
as a noncommutative version of Kodaira-Spencer class.
ON DEFOR...
Tài liệu Đề tài " On the volume of the intersection of two Wiener sausages " ppt
... completes the proof of
Lemma 6.
This completes the proof of Proposition 4 and hence of Theorem 1.
3. Proof of Theorem 2
In this section we indicate how the arguments given in Section 2 for the
Wiener ... −e
−cκ
a
φ
2
)
2
.
(2.34)
This completes the proof of Proposition 2.
ON THE VOLUME OF THE INTERSECTION OF TWO WIENER SAUSAGES
755
2.2. The lower bound in Theorem 1. In this se...
Tài liệu Đề tài " On the holomorphicity of genus two Lefschetz fibrations " pptx
... 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 V contained in the ... claim on pseudo-holomorphic sections of M
[d]
\ H
d
LEFSCHETZ FIBRATIONS
975
is clear from the definition of J
M
[d]
in Proposition 2.2 and the description of β
in Lemma 1.6.
H...
Tài liệu Đề tài " On the K2 of degenerations of surfaces and the multiple point formula " pptx
... two components of type (ii) meeting along a conic, or
(c) X consists of ν,3 ν r, components of type (ii) meeting along lines
and the dual graph G
D
of a general hyperplane section D of X is ... union of planes.
As a first application of this approach, we shall see that there are strong
constraints on the invariants of a smooth projective surface which degener-
ates to confi...
Tài liệu Đề tài " On the complexity of algebraic numbers I. Expansions in integer bases " ppt
... quantita-
tive version is established (in the sense that one bounds explicitly the number
of exceptional subspaces).
We now turn to the proof of Theorem 5. Keep the notation and the
assumptions of this theorem. ... every element of Q(β) ∩(0, 1) has an eventually periodic β-expansion.
5. Proofs of Theorems 1 to 4
We begin by a short proof of Theorem 2.
Proof of Theorem 2. Let a =...
Tài liệu Đề tài " On the classification problem for nuclear C -algebras " pdf
... that
ON THE CLASSIFICATION PROBLEM FOR NUCLEAR C
∗
-ALGEBRAS 1043
the moment one relaxes the slow dimension growth condition for AH algebras
(and therefore, a fortiori for ASH algebras) , one obtains ... C
∗
-algebras satisfying
the Universal Coefficient Theorem, the Elliott-Gong-Li classification of simple
unital AH algebras of very slow dimension growth, and Lin’s classification...
Đề tài "On Fr´echet differentiability of Lipschitz maps between Banach spaces " docx
... convex hull of
˜
R
u
is equal to the closed convex hull of R
u
(see
e.g. [5, Lemma 2.12]).
The proofs in [12] and [8] of existence of points of Fr´echet differentiability
of Lipschitz functions ... point of a surface then a suitable small local deformation of
the surface causes a nonsmall perturbation of the function t → D
f
(γ(t)). Here
we perform a finite number of such lo...
Đề tài " On a class of type II1 factors with Betti numbers invariants " pdf
... (“co-type”) case of inclusions of von Neumann
algebras, by using a similar strategy to the way the notions of amenabilty and
property (T) were extended from single algebras to inclusions of algebras ... group of M is trivial. This solves a long standing problem of
R. V. Kadison. Also, our results bring some insight into a recent problem of
A. Connes and answer a number of...
Đề tài " Automorphism groups of finite dimensional simple algebras " pptx
... this proof of Corollary 2 is nonconstructive as well. Here we give
another, constructive proof of this corollary. Combined with our proof of The-
orem 2, it yields a constructive realization of G ... admit constructive description of genera-
tors of the field of rational G-invariant functions). However for Corollary 2 of
Theorem 1 we are able to give another, constructive proof...
Đề tài " On the Julia set of a typical quadratic polynomial with a Siegel disk " ppt
... its parent.
By definition,
D is said to be of generation 0. Any child of D is of gen-
eration 1. In general, a drop is of generation k if and only if its parent is of
generation k − 1. Given a point ... argument. This is one of
the reasons why we adopt the original construction of [P2] in what follows.
Here is the strategy of this construction: For the above simple choice
of...