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29 Jan 2010: The vectors {ug | g G} span Sp over k, since φ is a generator forIndGB δ. ... We work in the category MQ Q of Chow motives over Qwith coefficients in Q.

29 Jan 2010: groups:. Conjecture B. Let E be a motive over Z. Then. ... d′i = d. ′. By the above,. each B′i is a motive over Z, so is a submotive of the universal extension B†i.

29 Jan 2010: E0 of elliptic curves over S a section of! kE=S, compatiblewith arbitrary basechange S0! ... Take an open U SpecR over which Abecomes principal, locally generated by , say.

23 Dec 2010: Let X := {HSSVλα :α < κ}. Then X HSS and is uniformly symmetric (see Lemma 12 and Corollary 3),so we can copy the membership relation on TC{x} over to a ... as a concrete natural number since there is no need quantify over n; in fact n 2 willbe

17 Dec 2010: We use A, B, C, D,. to range over finite subsets of N x N. ... The continuous functionals are closed under definition by recursion over tht: inductive definition of C,.

17 Dec 2010: We use A, B, C, D,. to range over finite subsets of N x N. ... The continuous functionals are closed under definition by recursion over tht: inductive definition of C,.

29 Jan 2010: E! X, and D is the divisor over which fails to be smooth. ... X is dened over K. This determines direct and inverse image maps: Wk̀!

29 Jul 2010: Theorem 1.3. Let E be an elliptic curve over Q with j-invariant j andminimal discriminant E. ... Lemma 3.5. Let E be an elliptic curve over C with Weierstrass equation.

19 Oct 2010: We. concentrate on 2- and 4-descendants and, in general, work over Q. ... When trying to discover things about n-coverings over Q, we will work.

29 Jan 2010: defined over F. Then there are commutative diagrams :. (1.2.1). Q[Q]0n1 Θ. ... Gm Z/NZ µµµN Z/NZ (Z/NZ)2. (ζaN,b) 7 (a,b). defined over Q(ζN ). 18. 7.3 The main theorem enables us to calculate the effect of