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2 Jun 2015: Let Kn be the function field of X(n) over K. Let B K3 /(K3 )3 be thesubgroup generated by all rational functions on X(3) with zeros and poles only ... To find some interesting examples over Q(T), we seta = b = 27j/(4(j 1728)) to obtain a model for Z(9),

7 Feb 2015: In this sec-. tion, Greek letters will range over expressions built up from ‘A’, ‘B’, etc. ... What is an intersection-closed property of relations?10. Let φ(x) be a horn clause (in which ‘R’ appears and the x range over the.

15 Sep 2015: The proportion of plane cubic curves over Q thateverywhere locally have a point. ... 12] T. van den Bogaart and B. Edixhoven, Algebraic stacks whose number of points over finite fieldsis a polynomial, Number Fields and Function Fields- Two Parallel Worlds

15 Sep 2015: b) ρDn () is equal to the probability that a random n-ary quadratic form over R, with respect to thedistribution D, is indefinite; and. ... 3.1 Preliminaries on n-ary quadratic forms over ZpFix a prime p.

18 Feb 2015: H = B is the multiplicative group of a quaternion division algebra B over F (sothat Y is compact). ... over R or C).• (Log-)syntomic cohomology Hisyn(,sQp(j)) (for varieties over a p-adic.

11 Sep 2015: 1. Introduction. Let E be an elliptic curve over a number field K. ... solving conics over K, and over quadratic extensions of K. 20 TOM FISHER.

29 Nov 2015: Forinstance over the alphabet that includes all letters froma to e the extended regularexpressiona represents all stringsexceptfor the one that is made up of the singlelettera. ... 17. machine must have repeated a state. Thus an utterly crude wayto check

7 Aug 2015: Thentheir product AB is another formal model in A, and AB is finitely generated as amodule over A and B. ... b) The associated graded ring gr U(Li)K with respect to the π-adic filtration isk[t] k gr U(L)K, which is flat over gr U(L)K.

20 May 2015: Then RX is a vector space (over R). (3) If [a,b] is a closed interval in R then C([a,b], R) := {f R[a,b] | f is continuous}is ... Let A be an nn matrix over F. The following are equivalent(i) there is a matrix B such that BA = In;.

22 Sep 2015: f(t) dt. (iii) If a c b, b. a. f(t) dt+. ... log(xa)b = b log xa = ba log x = ab log x = log xab,.