Đề tài " Ramification theory for varieties over a perfect field " docx

... pr ∗ 2 g ∗ α). Annals of Mathematics Ramification theory for varieties over a perfect field By Kazuya Kato and Takeshi Saito RAMIFICATION THEORY FOR VARIETIES OVER A PERFECT FIELD 51 We ... Saito Abstract For an -adic sheaf on a variety of arbitrary dimension over a perfect field, we define the Swan class measuring the wild ramification a...

Ngày tải lên: 06/03/2014, 08:21

... (This data was obtained with the commands InvariantRing, PrimaryInvariants, and SecondaryInvariants in Magma.) One checks that R = R/f 1 R is an integral domain. Let S be the subring of R generated ... will not aim for any uniformity in K; the implicit constants in this section will always depend on K and n. As before, for x an algebraic number, we denote by ||x|| the largest archimedean...

Ngày tải lên: 06/03/2014, 08:21

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Ngày tải lên: 19/03/2014, 00:20

... rules for Jacobi matrices and their applications to spectral theory By Rowan Killip and Barry Simon* Abstract We discuss the proof of and systematic application of Case’s sum rules for Jacobi matrices. ... norm A p = Tr( |A| p )asdescribed for example, in [53]. In particular, I 1 and I 2 are the trace class and Hilbert-Schmidt operators, respectively. For each A ∈I 1 , one can d...

Ngày tải lên: 28/03/2014, 22:20

... www.mamnon.com Trẻ em hôm nay – Thế giới ngày mai Ngày thứ 1 : Chủ đề: Cúm A H1N1 Đề tài: Bé biết gì về cúm A? Website hỗ trợ giảng dạy và chăm sóc trẻ em www.mamnon.com Trẻ em hôm nay ... ngày mai I. Mục đích yêu cầu: - Trẻ biết một số biểu hiện c a bệnh cúm A : sốt trên 38 độ, ho,… - Trẻ thuộc bài vè cúm A - Có ý thức bảo vệ phòng bệnh trước đại dịch cúm đang...

Ngày tải lên: 20/01/2014, 22:20

... theoretical attractors occupied a central position in the theory of smooth dynamical systems in the 1990s. Recall that a forward invariant compact set A is called a (mini- mal) metric attractor for ... dynamics if the basin of attraction B (A) := {x : ω(x) ⊂ A} of A has positive Lebesgue measure and B (A  ) has Lebesgue measure zero for every forward invariant compact set...

Ngày tải lên: 14/02/2014, 17:20

... dynamics. A main tool for the complete generalization to two complex variables of the classical Leau-Fatou flower theorem for maps tangent to the identity achieved in [A2 ] was an index theorem for ... class. (ii) If S is comfortably embedded, using a comfortable atlas we immedi- ately see that [h] = 0. Conversely, assume that [h] = 0; therefore we can find a splitting atlas U and...

Ngày tải lên: 14/02/2014, 17:20

... y)dy, Annals of Mathematics Uniform bounds for the bilinear Hilbert transforms, I By Loukas Grafakos and Xiaochun Li UNIFORM BOUNDS FOR THE BILINEAR HILBERT TRANSFORMS, I 907 and    Φ 1,k,l (·)e −2πic(ω 1,k,l )(·)   (x)   ≤ ... C2 −ηµ 2 − µ p j |I T | 1 2 . Annals of Mathematics, 159 (2004), 889–933 Uniform bounds for the bilinear Hilbert transforms, I By Loukas...

Ngày tải lên: 14/02/2014, 17:20

... the area of a fundamental cell of L and Γ = lim n→∞ 1 n E(S n S  n ) , is the two dimensional stationary covariance matrix associated with the simple random walk on L (note that C L is invariant ... US-Israel BSF grant. COVER TIMES FOR PLANAR BROWNIAN MOTION AND RANDOM WALKS 461 a planar Brownian excursion B · starting at z ∈ ∂D(y, ε n,l−1 ), conditioned to first exit D(y, ε n,l )atv, e...

Ngày tải lên: 14/02/2014, 17:20

... generating set. For any g ∈ G consider a shortest word u g in the generating set S = {a, b, c, d}, representing g. Any such word clearly has the form a ∗ a ∗ a ··· a, a ∗ a ∗ a a∗, a ∗ a a∗ or a ... and trivial- ity of the Poisson boundary for random walks on it. Namely, any nondegenerate random walk on a nonamenable group has nontrivial Poisson boundary and any amena...

Ngày tải lên: 14/02/2014, 17:20