Search

24 Dec 2019: Remark 2.3. If a and b have weights 2 and 3, and x1,. ... Theorem 5.10. Let E/K be the elliptic curve y2 = x3 ax b.

12 Apr 2019: Ψ is well-defined: as OSpec(A) (Spec(A)) ' A and OSpec(B) (Spec(B)) ' B, the homomorphismf]Spec(A) : OSpec(A) (Spec(A)) fOSpec(B) (Spec(A)) = OSpec(B) ... It remainsto show that D = B. For b B, we have Cbi = Bbi for all i, so there exist ci C and ki N

12 Apr 2019: Thenf defines a holomorphic function on an open ball B(0,R), with R > 0. ... The set B(f) = f (R(f)) Y is called the branch locus of f and its elements are calledbranch points.

1 Jan 2019: Supp ϕj b B. (xj,. 32rxj. ) ωxj,. 0 ϕj 1 and ϕj|Vxj = 1. ... Define Ψn : x Rd 7 Ψ (n(xa)). Now consider. a closed ball B b centred at a.

16 May 2019: Donner une CNS sur A et B pour que f soit injective (resp. ... Exercice II.1.6 (?). Soit A,B deux parties non vides de R.

6 Jan 2019: Hence, the quotient A = B/R is naturally a ring, and it is local. ... setting b (b′ m) = (bb′) m for b,b′ B and m M.

20 Nov 2019: 6. What is a function? Explain injective and surjective. Let A = {a,b}; B ={1, 2, 3}; What are the members of A B? ... Thus the numerals ‘XI’, ‘B’,‘11’, ‘13’ ‘1011’ all represent the same number.9.

2 Dec 2019: Note that we’ve already checked that mpBq “ |B|in the first lecture. ... Ş. n En is empty. Proof. (a) write µpBq “ µpBzAq µpAq.(b) write.

25 Nov 2019: From Riesz representation Theorem, there exists T(x′) Hsuch that. 〈x′,T(x)〉B′B = (x | T(x′))H for all x H. ... AB be a converging sequence, then zn = anbn z and by compactness ofA: aφ(n) a implies bφ(n) za b B since B is closed, and hence z