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22 Nov 2010: Transitive Sets in Euclidean Ramsey Theory. Imre Leader† Paul A. Russell‡ Mark Walters. November 22, 2010. Abstract. A finite set X in some Euclidean space Rn is called Ramsey if forany k there is a d such that whenever Rd is k-coloured it

17 Feb 2010: Also, for the elliptic curve E = MK = X0(20) (which doesnot have complex multiplication) one has E(Q) = MK , so that the calculations of Bloch and Grayson[BG] for the curve ... 20. ReferencesBe1 A. A. Beilinson; Higher regulators and values of L-functions

29 Jan 2010: i) D is injective for every D 1;. 20. (ii) If (D,D′) = 1 then Im D Im D′ = Im DD′. ... Soulé, 20 Jan. 1985. C. Deninger (1989), Higher regulators and Hecke L-series of imaginary quadratic fields I,Inventiones Math.

29 Jan 2010: From this one can deduce (using for example [20], II.7.1):. 2.3 (Manin’s identity principle). ... Corollary 5.10. The natural map Hom(X,X′)Q Hom(h1(X′)can,h1(X)can) is anisomorphism. 20. Proof.

17 Dec 2010: Some understanding of fibred and indexed categories is essential. The reader can consult [20] or [2]. ... 20]). q. 162 J. M. E. Hyland. Recall now a general notion of T-algebra.

17 Dec 2010: Some understanding of fibred and indexed categories is essential. The reader can consult [20] or [2]. ... 20]). q. 162 J. M. E. Hyland. Recall now a general notion of T-algebra.

25 Nov 2010: The case n = 3 is classical: see [20, Section II.7] or [27, Art. ... Generalising the terminology in [20, Section II.7] we callthese the syzygetic n-gons.

18 Feb 2010: 20. (6.5) Corollary. (1) Let E/F be a CM elliptic curve of Shimura type as above.

12 Oct 2010: 20 T.A. FISHER AND G.F. SILLS. 3.4. A geometric observation. Let Φ be a genus one model of degree n {2, 3, 4} over a field K.

19 Oct 2010: Theorem 20 The following are properties of εν:. • εν exists and εν = min(dν, d′ν). • ... 5(8abe b2d 4acd)x4z2 20(b2e ad2)x3z3. 5(8ade bd2 4bce)x2z4 2(16ae2 2bde 4c2e cd2)xz5.

29 Jan 2010: An introduction to Kato's Euler systemsA. J. Scholl to Bryan BirchContents1 Kato-Siegel functions and modular units 3821.1 Review of modular forms and elliptic curves. 3821.2 Kato-Siegel functions. 3841.3 Units and Eisenstein series. 3882 Norm

17 Dec 2010: FILTER SPACES AND CONTINUOUS FUNCI’IONALS. Received 16 March 1977. 0. Introduction and preliminaries. The aim of this paper is to provide a mathematically civilized introduction to the continuous functionals. The continuous functionals are a

17 Dec 2010: FILTER SPACES AND CONTINUOUS FUNCI’IONALS. Received 16 March 1977. 0. Introduction and preliminaries. The aim of this paper is to provide a mathematically civilized introduction to the continuous functionals. The continuous functionals are a