adic analytic moduli space of representations

... the Gieseker-Maruyama construction of the moduli space of (semi)stable sheaves, the condition of (semi)stability of a sheaf F being that all balanced filtrations of F have negative (nonpositive) ... use of the category of complex analytic spaces For a scheme Y , we denote by Y an the associated complex analytic space ([SGA1, XII], [Ha, App B]), and given a morphism f in the category of schemes, ... corresponding morphism in the category of analytic spaces Recall that the underlying set of Y an is the set of closed points of Y , and it is endowed with the analytic topology Lemma 2.1 Let S be...

Ngày tải lên: 16/02/2014, 05:20

... (hyperbolic model of the) moduli space of Riemann surfaces of topological type F The connected component Diff (F ) of the identity acts freely on (F ) with orbit space (F ), the Teichm¨ller space The ... the representing spaces of its fibers are the homotopy fibers of the induced map of representing spaces |WT | → |Wloc,T | It is easy to see that the representing space of any fiber of WT → Wloc,T ... define a homotopy fibration sequence of infinite loop spaces The spaces |hW| and |hWloc | are, like |hV| = Ω∞ hV, colimits of certain iterated loop spaces of Thom spaces Their homology can be approached...

Ngày tải lên: 06/03/2014, 08:21

... or the complement of the spine of Fρ in X is a finite union of cylinders A1 , , An Moduli space Let Mg = Tg / Modg denote the moduli space of compact Riemann surfaces X of genus g, presented ... identification of ΩEd2 with the space of elliptic differentials of degree d Abelian varieties Let Ag denote the moduli space of principally polarized Abelian varieties of dimension g The space Ag is ... and Ω1 ED (1, 1) Theorem 8.5 The space of eigenforms Ω1 ED (1, 1) has finite volume Proof The proof follows the same lines as the proof of finiteness of the volume of Ω1 M2 (1, 1), using the fact...

Ngày tải lên: 16/02/2014, 06:20

... Pescar in 1996 Main univalence criteria for analytic function In this section, we make a criteria for space of analytic functions to be univalent We give proof and applications only for the first ... doi:10.1186/1029-242X-2011-109 Cite this article as: Faisal and Darus: A study of Pescar’s univalence criteria for space of analytic functions Journal of Inequalities and Applications 2011 2011:109 Submit your manuscript ... 3n α ∈ R, c ∈ C and fi (z) ≤ M, ∀i and M ≥ Then, the family of functions f denoted by Gn,a belong to the class S Proof Using the proof of Theorem 2.1, we have zF (z) ≤ (α − 1) F(z) ∞ z2 f i (z)...

Ngày tải lên: 20/06/2014, 22:20

Ngày tải lên: 13/11/2014, 11:05

... and moduli spaces of surfaces of general type, Compositio Math 61 (1987), 81–102 , Connected components of moduli spaces, J Differential Geom 24 (1986), 395–399 , Moduli and classification of irregular ... models of surfaces of general type, Publ Math I.H.E.S 42 (1973), 173–219 F Catanese, On the moduli spaces of surfaces of general type, J Differential Geom 19 (1984) 483–515 , Automorphisms of rational ... functions on the corresponding subspace of the moduli space) Whence, also a nontrivial family of G -covers, a contradiction III Observe that, given two points y, z of C, f (y) = f (z) if and only...

Ngày tải lên: 14/02/2014, 16:20

... The fourth paper of this series will deal with how the multi-valued graphs fit together and, in particular, prove regularity of the set of points of large curvature – the axis of the double spiral ... also [CM9] for the “pair of pants decomposition” in the special case of annuli.) In the case of the Riemann examples (see Figure 4), there will be a number of “pairs of pants”, that is, topological ... complement of the domains (in R3 ) which separate each of the pieces; cf Corollary 0.4 below Moreover, after the decomposition is made then every intersection of one of the “pairs of pants” with...

Ngày tải lên: 14/02/2014, 17:20

... proof of this lemma is nearly identical to the proof of the second assertion of Lemma 14.4 of [LvS] with slight modifications All combinatorial properties of unimodal maps used in that proof obviously ... is dense in the space of unimodal Proof of Theorem A We will show that any regular map with a recurrent critical point can be included in a nontrivial analytic family of regular analytic unimodal ... Construction of the holomorphic box mapping Following a suggestion of the referee we include an outline of the proof of Theorem 2.3 here This theorem was proved in [LvS, Th C] in the case of maps of the...

Ngày tải lên: 05/03/2014, 23:20

... endpoints of ∂ˆ Finally, as in the proof of Proposition I.0.16, we must have Γd ∩ γ = ∅ This contradiction ˆ completes the proof Many variations of Theorem I.0.8 hold with almost the same proof One of ... own component of Π−1 (D3 c3 r0 (y)) \ (Γ1 ∪ Γ2 ) ¯ and Γ1 , Γ2 ⊂ {|x3 − x3 (y)| ≤ β c3 r0 } Proof This follows exactly as in the second step of the proof of Proposition I.0.16 Proof of Theorem I.0.8 ... [CM4] ——— , The space of embedded minimal surfaces of fixed genus in a 3-manifold II; Multi-valued graphs in disks, Ann of Math 160 (2004), 69–92; math.AP/0210086 [CM5] ——— , The space of embedded...

Ngày tải lên: 14/03/2014, 22:20

... fundamental to study the moduli spaces of algebraic varieties As for the existence of moduli spaces, it had been known that there exists an algebraic space as a coarse moduli space of nonuniruled polar- ... eigenspace decomposition of the space of global sections of KXm with respect to the eigenvalues ζ j of γ It follows that the spaces Ej can be identified with the space of global sections of KX ... for ampleness on certain complete moduli spaces in [KO1], with applications to the projectivity of the moduli space of stable curves and certain moduli spaces of stable surfaces under boundedness...

Ngày tải lên: 28/03/2014, 22:20

... decay rate of Fourier coefficients of Rankin-Selberg products of Maaß forms for G = Sl(n, R), and to give a conceptually simple proof of results of Good, [Go81a,b], on the growth rate of Fourier ... a continuous lift of Φ |B ×U C extending Ψ |A1 ×U By the uniqueness of liftings we get a continuous lift of Φ C completing the proof of (iii) (iv) In view of (ii), we get an analytic map κ: BC ... assertion of (i) now follows from (4.3) (ii) In view of the proof of (i), (ii) is immediate from the analytic extensions of (4.3) and (4.4) to exp(ia) ∩ Ω (iii) This is proved as (ii) is by use of the...

Ngày tải lên: 28/03/2014, 22:20

... Some examples A P r o o f s of product f o r m u l a e A.1 A.2 A.3 A.4 A.5 Proof Proof Proof Proof Proof of of of of of Theorem Corollary Theorem Corollary Theorem 2.4.4 ... ]jr[u]l~,,t ( g E Z + ) We denote by A the space of entire analytic functions in CTM Let K be a compact subset of C ~, and denote by A ' ( K ) the space of analytic functionals carried by K, i.e., ... restrictions of functions belonging to these spaces Hyperfunctions ( in a bounded open subset of R n) will be defined as residue classes of analytic functionals after the m a n n e r of HSrmander's...

Ngày tải lên: 01/06/2014, 08:02

... firstperson perspective of concrete experience, can provide a full account, whether of (the possibility of) knowledge, or of its own possibility as philosophical knowledge of the space of meaning as such ... the conditions of possibility of meaning, together with the conditions of possibility of our philosophical grasp of those conditions) may be an “aberration” when seen in light of his “own impulses,” ... thinking by way of “givens” that are not produced by the spontaneity of thought? If all warrant takes place within the space of reasons,” that is, in terms of the conceptual relations of “implication...

Ngày tải lên: 11/06/2014, 12:54

... strong convergence theorem for finding a solution of the equilibrium problem (1.1) in Banach spaces Forward, we denote the set of solutions of the problem (1.1) by EP(f): Inspired and motivated ... of a smooth Banach space E A mapping T: C ® C is said to be generalized nonexpansive if F(T) is nonempty and φ(Tx, p) ≤ φ(x, p), ∀x ∈ C, p ∈ F(T), where F(T) denotes the set of fixed points of ... nonexpansive retraction from E onto EP(f) Proof For the sake of simplicity, let un = Trn xn , yn = bnxn + (1 - bn)un and zn = REP(f) x n As in the proof of Theorem 3.1, we have {x n }, {u n }, {z...

Ngày tải lên: 20/06/2014, 21:20

... partition of I The quantity VdX (f , I) is called the total variation of f We shall denote by BV(I, X) the space of all functions of bounded variations on I and with values in X It is a Banach space ... p 812] Let K be a compact subset of the Banach space × and let F be a family of maps of uniformly bounded variation from I into K Then there exists a sequence of maps (fn )n≥1 ⊂ F convergent pointwise ... subset Λ of Y containing ℜ(z), there exists an open neighborhood Π of z such that ℜ(Π) ⊂ Λ In terms of sequences, ℜ is u.s.c if for each sequence (zn) ⊂ X, zn ® z0, and B a closed subset of Y such...

Ngày tải lên: 21/06/2014, 02:20

... of rational exterior spaces of rank The Lefschetz number of self-maps of a rational exterior space can be expressed in terms of quotient eigenvalues Theorem 2.3 (cf [7]) Let f be a self-map of ... periods for maps of rational exterior spaces in the case when homology spaces of X are small dimensional, namely when X is of the rank Our work is based on [1, 9], where the description of the so-called ... rational exterior space, and let λ1 , ,λk be the quotient eigenvalues of f Let A denote the matrix of A( f ) Then L( f m ) = det(I − Am ) = k m i=1 (1 − λi ) Remark 2.4 A basis of the space A(X) may...

Ngày tải lên: 22/06/2014, 22:20

Ngày tải lên: 05/08/2014, 15:21

... 0} (2.5) The Weak Topology on the Space of Probability Capacities in Rd 243 The Weak Topology on the Space of Probabilitiy Capacities Let B be a family of sets of the form B = {U(T ; f1 , , ... family of all finite sets of D Using Lemmas 3.4 and 3.6 we will show that ˜ Proposition 3.7 G is a countable base of the weak topology in C Proof Clearly G is countable We prove that G is a base of ... proposition is proved ˜ The proof of the theorem is finished Thus, since C equipped with the weak topology is a metric space, we can define the notion of weak convergence of a ˜ sequence in C as follows...

Ngày tải lên: 06/08/2014, 05:20