Đề tài " On De Giorgi’s conjecture in dimensions 4 and 5 " pdf

... boundaries in strictly convex do- main, Arch. Rational Mech. Anal. 141 (1998), 3 75 40 0. (Received December 28, 2001) Annals of Mathematics, 157 (2003), 313–3 34 On De Giorgi’s conjecture in dimensions 4 ... dimensions in [4] , [7] and [ 14] independently. The ideas used in [ 15] for the proof of the Gibbons conjecture in dimension 3, were refined and used in...

Ngày tải lên: 05/03/2014, 23:20

... number Per(ω H u ) is independent of the choices of v and ω H u , up to multiplication by a nonzero algebraic number, and only depends on u and H. In the notation at the beginning of the introduction, with ... Geom. 41 (19 95) , 53 – 157 . [3] S. Chowla and A. Selberg, On Epstein’s zeta-function, J. Reine Angew. Math. 227 (1967), 86–110. 7 54 VINCENT MAILLOT AND DAMIAN ROE...

Ngày tải lên: 14/03/2014, 22:20

... X ∗n 1 H 5 where n 1 depends only on q. This is identical to Step 2 in Section 2. Step 1 C . H 5 ⊆ X ∗n 2 where n 2 depends only on q, d and c. We proved in Step 1 of Section 2 that H 5 is an ... needed. This in turn depends only on the corresponding special case of Theorem 1.10. Variants (B) and (C). De ne k(d)=1+d · max{2d +4, 2C 0 +2} . Now modify the statement of...

Ngày tải lên: 29/03/2014, 07:20

... surjective. Annals of Mathematics On a vanishing conjecture appearing in the geometric Langlands correspondence By D. Gaitsgory ON A VANISHING CONJECTURE 6 35 Proof. The adjointness of the functors ... Mathematics, 160 (20 04) , 617–682 On a vanishing conjecture appearing in the geometric Langlands correspondence By D. Gaitsgory* Introduction 0.1. This paper should...

Ngày tải lên: 05/03/2014, 23:20

... F 2 −,L  (4. 53 )  L 2 4 F +,L   tr F 2 −,L   L 2 4  tr F +,L  tr F 2 −,L  (4. 54 )  L 2 4  tr Q +,L  tr Q −,L   L 2 4  tr Q L  2 − tr Q L  . (4. 55 ) Combining (4. 52 ) and (4. 53 ) – (4. 55 ), ... from (4. 55 ) to (4. 56 ) cannot be improved. The factor of L 2 obtained going from (4. 53 ) to (4. 54 ) must also be correct because of (4. 62), since...

Ngày tải lên: 15/03/2014, 09:20

... (1972), 52 6 55 1. [40 ] ——— , Diophantine Approximation, Lecture Notes in Math. 7 85 (1980), Springer- Verlag, New York. [41 ] G. Troi and U. Zannier, Note on the density constant in the distribution ... confusion. Our paper is organized as follows. The main results are stated in Sec- tion 2 and proved in Section 5. Some de nitions from automata theory and combinatorics...

Ngày tải lên: 16/02/2014, 06:20

... Mathematics On a coloring conjecture about unit fractions By Ernest S. Croot III Annals of Mathematics, 157 (2003), 54 5 55 6 On a coloring conjecture about unit fractions By Ernest ... Problems in Number Theory, Second edition, Springer-Verlag, New York, 19 94, 158 –166. [4] H. Halberstam and H E. Richert, Sieve Methods, London Math. Soc. Monographs, No. 4 (19...

Ngày tải lên: 14/03/2014, 22:20

... refer the reader to [5, Section 4. 3]. In the sequel we want to give some information on the three remaining cases (3, 4) , (6, 9) and (7, 8). By [5, Sections 5. 2, 5. 8, 6.1, and, in particular, 6 .5] , there ... nonisometric isoparametric fam- ilies of Clifford type, all of which are inhomogeneous; see [5, Sections 5 .4, 5. 5, and, in particular, 6.6]. For one of these exa...

Ngày tải lên: 22/03/2014, 20:21

... ) sitting in the middle’ of S. Again, the diagonal subgroup H of S induces by conjugation on S 1 its full group of diagonal automorphisms. Now we apply De nition 6.8 and the discussion preceding it ... ω of roots under the equivalence relation ∼ of Σ considered above. Recall the de nition of the root subgroups Y ω and their description in Section 2. Notice that Y ω can be considere...

Ngày tải lên: 29/03/2014, 07:20

... nổ. -22/6/1 941 : Đức tấn công Liên Xô. -2/2/1 943 : Chiến thắng Xtalingrát. -9 /5/ 1 9 45 : Đức đầu hàng đồng minh. - 14/ 8/1 9 45 : Nhạt đầu hàng đồng minh, chiến tranh thế giới thứ hai kết thúc… *Những ... thứ VIII. -22/12/1 944 : Thành lập đội Viẹt Nam tuyên truyền giải phóng quân. -19/8/1 9 45 : Khởi nghĩa thắng lợi ở Hà Nội. -23/8/1 9 45 : Khởi nghĩa thắng lợi ở Huế. - 25/ 8/1 9...

Ngày tải lên: 05/11/2013, 10:11