Rational points on Shimura curves and Galois representations Carlos de Vera Piquero
... cubic 3x3 +4y 3 = 5. These curves have rational points locally everywhere, but fail to have global Qrational points, thus they are counterexamples to the Hasse principle (see [Lin40, Rei42, Sel51]). Genus one curves violating the Hasse principle, like the previous ones, represent non-trivial element ...
... cubic 3x3 +4y 3 = 5. These curves have rational points locally everywhere, but fail to have global Qrational points, thus they are counterexamples to the Hasse principle (see [Lin40, Rei42, Sel51]). Genus one curves violating the Hasse principle, like the previous ones, represent non-trivial element ...
SA-I Class-X Maths-2(Download)
... 2. The question paper consists of 34 questions divided into four sections A, B, C, and D. Section – A comprises of 8 questions of 1 mark each, Section – B comprises of 6 questions of 2 marks each, Section – C comprises of 10 questions of 3 marks each and Section – D comprises of 10 questions of 4 ma ...
... 2. The question paper consists of 34 questions divided into four sections A, B, C, and D. Section – A comprises of 8 questions of 1 mark each, Section – B comprises of 6 questions of 2 marks each, Section – C comprises of 10 questions of 3 marks each and Section – D comprises of 10 questions of 4 ma ...
On different notions of tameness in arithmetic geometry
... We start by recalling the following desingularization results. See [Lip] for a proof of (i) and [Sha], Lecture 3, Theorem on p. 38 and Remark 2 on p. 43, for (ii). We denote the set of regular points of a scheme X by X reg . Proposition 2.1. Let X be a two-dimensional, normal, connected and excellen ...
... We start by recalling the following desingularization results. See [Lip] for a proof of (i) and [Sha], Lecture 3, Theorem on p. 38 and Remark 2 on p. 43, for (ii). We denote the set of regular points of a scheme X by X reg . Proposition 2.1. Let X be a two-dimensional, normal, connected and excellen ...
CENTRAL LIMIT THEOREM FOR THE EXCITED RANDOM WALK
... Our proof is based on the well-known construction of regeneration times for the random walk, the key issue being to obtain good tail estimates for these regeneration times. Indeed, using estimates for the so-called tan points of the simple random walk, introduced in [1] and subsequently used in [6, ...
... Our proof is based on the well-known construction of regeneration times for the random walk, the key issue being to obtain good tail estimates for these regeneration times. Indeed, using estimates for the so-called tan points of the simple random walk, introduced in [1] and subsequently used in [6, ...
Chapter 6
... Note for d): Terms must be rearranged to factor a GCF from a binomial. There are several different possibilities, so don't let it worry you if you would have chosen a different arrangement. [xy x + 2y 2 is one and xy + 2y x 2 is the other] Note 2 for d): In addition to rearranging the group ...
... Note for d): Terms must be rearranged to factor a GCF from a binomial. There are several different possibilities, so don't let it worry you if you would have chosen a different arrangement. [xy x + 2y 2 is one and xy + 2y x 2 is the other] Note 2 for d): In addition to rearranging the group ...
