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28 Jan 2024: We fix T B Ga maximal torus and Borel pair in G defined over F which are in good positionrelative to s, and let I = Gal(F/F). ... We let B Tbe the Borel subgroup defined over F determined by BH and let X(T).

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.

19 Dec 2014: A filter F over κ is normal if for every {Xα F : α < κ}, the diagonal. ... ii) Prove Ulam’s theorem: there is no κ+ -saturated κ+ -complete ideal over κ+.

9 Dec 2005: A matrix A is said to be partition regular (PR) over a subset S of the positive integers if whenever S is finitely coloured, there exists a vector x, with all ... Those matrices which are partition regular over the positive integers were completely

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.

9 Nov 2020: lemma. Since the slope filtration descend to G u(a,b), for a a′ b′ b we have a subquotient over. ... Def (a,b) over s, and Defs(a,b1) to be the fiber of Defa,b1 Def (a,b) over s.

13 Dec 2017: 15. Suppose B is compact, and that E is a vector bundle over B I. ... Show that fi (E) ' fi1(E). Deduce that if E′ is a vector bundle over B′ and f,g : B B′ are homotopic, thenf(E′) ' g(E′).

16 Jul 2014: Mark Gross Mirror symmetry and the SYZ conjecture. In this case, the SYZ fibration over B has a singular fibre over thesingular point of B, a pinched torus, and the total ... space of thefibration over B has two holomorphic disks, one as depicted:.

6 Mar 2023: of punctured curves and pre-stable or stable punctured log maps f : C/W X orf : C/W X defined over B. ... stacks. We remind the reader that allproducts in this square are taken over B.

25 Aug 2021: It is a reductivegroup over F such that. Jb(R) = {g G(F̆ F R) | g1bσ(g) = b}. ... In this case XK̆,w(b) is locally offinite type over k (cf.