Đề tài " Quasi-projectivity of moduli spaces of polarized varieties " pptx

... property of generalized Petersson-Weil metrics Our study of moduli of polarized varieties is based on moduli of (canon- ically polarized) framed manifolds. We include the definition of generalized Petersson-Weil ... study the moduli spaces of al- gebraic varieties. As for the existence of moduli spaces, it had been known that there exists an algebraic space as a...

Ngày tải lên: 28/03/2014, 22:20

... i of the homo- topy orbit spaces of O(i) × O(d +1− i)  O(i, d +1− i) acting on the left of (O(d +1)× Θ)  O(d +1) ∼ = Θ. Let G(d, n; Θ) be the space of d-dimensional Θ-oriented linear subspaces in ... colim n Ω d+n Th (T ⊥ n ). Proof. It is enough to show that the inclusion of G(d, n; Θ)inGV(d+1,n) is (d+n −1)-connected. Viewing both of these spaces as total spaces of cer...

Ngày tải lên: 06/03/2014, 08:21

... 483–515. [Cat2] , Automorphisms of rational double points and moduli spaces of surfaces of general type, Compositio Math. 61 (1987), 81–102. [Cat3] , Connected components of moduli spaces, J. Differential ... 13, 2001) Annals of Mathematics Moduli spaces of surfaces and real structures By Fabrizio Catanese* Annals of Mathematics, 158 (2003), 577–592 Mo...

Ngày tải lên: 14/02/2014, 16:20

... 0.16. The notion of balanced filtration appeared naturally in the Gieseker-Maruyama construction of the moduli space of (semi)stable sheaves, the condition of (semi)stability of a sheaf F being ... representation of G on the semisimple part g  of the Lie algebra of G, and ϕ is given by the Lie algebra structure. To obtain a projective moduli space we have to allow E to Ann...

Ngày tải lên: 16/02/2014, 05:20

... closed 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 ... above arguments to several other spaces. Definition 4.1. Let X be a Banach space and {X k } ∞ k=1 a decreasing se- quence of subspaces of X. The sequence X k of subspaces i...

Ngày tải lên: 05/03/2014, 23:20

... H(µ) < ∞, but the entropy of the random walk h(µ) > 0. Proof . For the proof of the corollary it is sufficient to show that the group satisfies the assumption of Theorem 1. This is done in ... sequence satisfying the assumption of Theorem 3). Then exp  n ln 2+ε (n)  ≤ v G w ,S (n) ≤ exp  n ln 1−ε (n)  for any ε>0 and any sufficient large n. Proof of Theorem 3. The idea of...

Ngày tải lên: 14/02/2014, 17:20

... coefficients of the expansion of the operator A(z,uz) in powers of z: A(z,uz)=  k∈ Z A k z k .(2.24) As observed in the proof of Proposition 7, the operator A k for k = −1 involves only terms of energy ... directions. Hence, for general values of µ i , the matrix element on the right side of (2.17) is not a priori well-defined. By expansion of the definition of A(µ i ,uµ i ),...

Ngày tải lên: 16/02/2014, 06:20

... former version of this paper we proved Theorem 1.3.3 using this idea of paths integrals. This is, however, very delicate since it implies use of the stationary phase method on spaces of arbitrarily ... than Λ/2. Sketch of the proof. We start with a variant of observation (b), proved in subsection 2.3: ENTROPY AND THE LOCALIZATION OF EIGENFUNCTIONS 447 (b  ) Let F ⊂ Σ be a σ-i...

Ngày tải lên: 06/03/2014, 08:21

... η k x k ) contains no product of the ω k in the (ξ,η) variables. Moreover, the coefficients of the homogeneous part of K of degree l and of v l are polynomials of degree l − 2 in the coefficients of H 3 , ,H l . b) ... that R(K t ) ≥ C 1 1+||t|| . c) Proof of Theorem 2. The proof of Theorem 2 follows exactly the same lines as the proof of Theorem 1 once the polynomial dependen...

Ngày tải lên: 14/03/2014, 22:20

... ρ(f) is irrational of bounded type. The proof of this theorem makes essential use of the existence of real a priori bounds developed by ´ Swiatek and Herman. Here is a version of their result needed ... along the boundaries of another chain of descendants of U until it reaches a different iterated preimage of β. We call I = I(P) ⊂ ∂U the base arc of the puzzle piece P . Ann...

Ngày tải lên: 14/03/2014, 22:20