Đề tài " The density of discriminants of quartic rings and fields " doc

... O(X 10/12+ ). Annals of Mathematics The density of discriminants of quartic rings and fields By Manjul Bhargava DISCRIMINANTS OF QUARTIC RINGS AND FIELDS 1049 Indeed, let S denote the set of (A, ... completes the proof. Proof of Theorem 2. We first prove the analogue of Theorem 2 for the set S of S 4 -quartic orders having content 1...

Ngày tải lên: 22/03/2014, 20:20

... expansion of the definition of A(µ i ,uµ i ), the Annals of Mathematics The equivariant Gromov- Witten theory of P1 By A. Okounkov and R. Pandharipande THE EQUIVARIANT GROMOV-WITTEN THEORY ... Part[n] is the set of partitions P of the set {1, ,n}. Here, (P )isthe length of the partition, and z P i denotes the variable set indexed by the part P...

Ngày tải lên: 16/02/2014, 06:20

... the source of π  ψ is the disjoint union of the sources of π and ψ. (See the remark just below.) To make the monoid structure explicit in the case of the target, we intro- duce hW ∨ hW and the ... set of homotopy classes of maps. We assume familiarity with the Pontryagin-Thom relationship between Thom spectra and their infinite loop spaces on the one hand...

Ngày tải lên: 06/03/2014, 08:21

... and column) and J k is its barycenter. By convexity, J k is the maximizer of the entropy over B k and the minimizer of the 2-norm. By the same token, the permutation matrices are minimizers of ... CHROMATIC NUMBER OF A RANDOM GRAPH 1337 Specifically, the number of k-colorings of a random graph is the sum, over all k-partitions σ of its vertices (into k “colo...

Ngày tải lên: 29/03/2014, 07:20

... (n, n 2 ). Proof. The proof is by induction. The result for Q 0 is obvious, and the result for Q 1 ∼ = P 1 is Property (D). Except for the base cases in the previous paragraph, the argument for the odd and ... [A2] and Yuzvinsky [Y] for special values of r, s, and n. In [SS] a weaker version of the condition was proved for arbitrary fields and arbitrary values of...

Ngày tải lên: 06/03/2014, 08:21

... is not true and (21) follows as we explained. This completes the proof of the claim, and the proof of the lemma. The next proposition gives the global estimate for the level set of the constrained ... p>1. The assumption that (X, d) is geodesic involves no loss of generality for the proof of Theorem 1.0.1 and is adopted to simplify the expo- sition. In...

Ngày tải lên: 29/03/2014, 07:20

... NHỮNG PHÁT HIỆN MỚI CỦA ĐỀ TÀI CŨNG NHƯ NHỮNG HẠN CHẾ CỦA ĐỀ TÀI NÀY, TỪ ĐÓ ĐỀ XUẤT NHỮNG ĐỀ TÀI NGHIÊN CỨU MỚI ĐỂ GIẢI QUYẾT NHỮNG HẠN CHẾ NÀY ? 6.1 Những phát hiện mới của đề tài Nghiên cứu tác ... hạn chế của đề tài này, từ đó đề xuất những đề tài nghiên cứu mới để giải quyết những hạn chế này ? Nhóm 4 –K20 Đêm 6 Trang 1 The “advantage of latecomer” in abating air-polluti...

Ngày tải lên: 06/01/2014, 14:53

... replacement then gives a broken geodesic with the same length bound and a bound on the number of breaks. Third, we find a simple subcurve and use the Gauss-Bonnet theorem to control the number of breaks. PLANAR ... γ ε j ,3 separate Σ ε j ,1 and σ 2 . The next lemma bounds the area of a minimal surface with two sides and an interior boundary in a small ball in terms...

Ngày tải lên: 14/02/2014, 17:20

... view of Corollary 4.6 we can therefore express ε AB R A43B in the form curl/π (2) + E (2) . 5. Strategy of the proof of the Asymptotics Theorem In this section we describe the main ideas in the ... estimate for the derivatives of Ric 44 (H). (3) Section 8. Using the bootstrap assumptions and the results of Sections 6 and 7 we provide a detailed proof of the A...

Ngày tải lên: 16/02/2014, 05:20

... new type of weight, which measures the changes of the distance to the zeroes of the imaginary part along the bicharacteristics of the real part between the minima of the curvature of the zeroes. ... C  u 2 (2.17) and the estimate (2.11), which completes the proof of Theorem 1.1. It remains to prove Proposition 2.5, which will be done at the end of...

Ngày tải lên: 16/02/2014, 05:20