On the good reduction of abelian varieties

WebOur second result concerns abelian varieties over Q that have good reduction outside l and acquire semi-stable reduction at l over a tamely ramified extension. Theorem 1.3. For the primesl =2,3 or 5, there do not exist any non-zero abelian varieties over Q that have good reduction at every prime different from l and acquire semi-stable ... WebAbstract: Under assumption of the Generalized Riemann Hypothesis we show that every abelian variety over Q(\\sqrt{97}) with good reduction everywhere is isoge...

René Schoof: Abelian varieties over Q(\sqrt{97}) with good …

Web2 de out. de 2024 · Then its reduction at any place v of good reduction is a torsion point. For most of this paper we fix a rational prime and study how the -part of this reduction … WebThen there are only finitely many isomorphism classes of abelian varieties over K with polarizations of degree d which have good reduction outside of S. Keywords. Line Bundle; Prime Number; Isomorphism Class; Abelian Variety; Finiteness Theorem; These keywords were added by machine and not by the authors. increase to real living wage https://ltcgrow.com

On $p$-adic uniformization of abelian varieties with good reduction

Web1 de jan. de 1975 · This result also provides a new proof of Y. Morita's conjecture on the everywhere good reduction of abelian varieties (over number fields) whose Mumford-Tate group is anisotropic modulo center. Webhaving “logarithmic good reduction”. Such a formula had been proven for cohomologically tame semi-abelian varieties by Halle–Nicaise [4, §8.1]. Hence Theorem 1.2 shows that … WebSerre, J.-P., Tate, J.: Good reduction of Abelian varieties. Ann. Math.68, 492–517 (1968) Google Scholar Tate, J.: Algorithm for determining the type of a singular fiber in an elliptic pencil. In: Modular functions in one variable IV. Lecture Notes in ... increase to retirement age

On the Order of the Reduction of a Point on an Abelian Variety

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On the good reduction of abelian varieties

On p-adic uniformization of abelian varieties with good reduction

WebGood Reduction of Abelian Varieties - wstein Web19 de jul. de 2024 · On. -adic uniformization of abelian varieties with good reduction. Adrian Iovita, Jackson S. Morrow, Alexandru Zaharescu. Let be a rational prime, let …

On the good reduction of abelian varieties

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Web16 de mar. de 2024 · There is a well known theorem by Deuring which gives a criterion for when the reduction of an elliptic curve with complex multiplication (CM) by the ring … WebOn p-adic uniformization of abelian varieties with good reduction We present a proof, whose sketch was supplied by Pierre Colmez, that if T p(A)GK = 0, then Fontaine’s …

WebGood reduction Johan Commelin March 19, 2013 1 Introduction In a course on elliptic curves the topic of good reduction will pass by sooner or later. ... “Good reduction of abelian varieties”. In: Ann. of Math. (2) 88 (1968), … Web2 de out. de 2024 · We show that up to potential isogeny, there are only finitely many abelian varieties of dimension d defined over a number field K, such that for any finite place v outside a fixed finite set S of places of K containing the archimedean places, it has either good reduction at v, or totally bad reduction at v and good reduction over a quadratic …

WebTorp(A)∩ X is Zariski dense in X,thenX is a translate of an abelian subvariety of A, that is, X = A +a,whereA is an abelian subvariety of A and a ∈ A. Proof. Let A F be the reduction of A at v, which is a supersingular abelian va-riety over F.Letq be the cardinality of F,whichisapowerofp.Letσ ∈ Gal(F/F)betheq-th power Frobenius ... WebA note on good reduction of simple Abelian varieties. C. Adimoolam. Published 1 February 1977. Mathematics. In this note it is shown that the reduction of a simple …

WebAbstract: Under assumption of the Generalized Riemann Hypothesis we show that every abelian variety over Q(\\sqrt{97}) with good reduction everywhere is isoge...

WebAs the reduction behavior is determined by the Galois representations of the decompositon groups, one can reformulate the problem as follows: let A be an abelian variety over F, p … increase to pensionWeb11 de fev. de 2024 · In this case X → A is an isogeny and it follows from Neron-Ogg-Shafarevich that X has good reduction as well over R. Thus, X has potential good reduction over R, i.e., there is a finite extension L / K such that X R L has a smooth proper model over R L, where R L is the integral closure of R in L. I fear that my answer has a … increase to work bonusWebÉtale Cohomology and Reduction of Abelian Varieties. × Close Log In. Log in with Facebook Log in with Google. or. Email. Password. Remember me on this computer. or … increase to social security benefitsWebabelian variety over the finite field F q is a Weil q-number, see Theorem 3.2. We will see that A∼B ⇒ π A∼π B, i.e. abelian varieties defined over the same finite field Kisogenous over Kdefine conjugated Weil numbers. We will write {simple abelian variety over K}/∼ K =: M(K,s) for the set of isogeny classes of simple abelian ... increase to social security in 2021WebAn abelian variety with sufficiently many complex multiplications has potentially good reduction; in case the residue class field is finite this was proved by Serre and Tate; in … increase to smpWebRecall that an abelian variety over a complete field K is said to have potentially good reductionif there exists a finite field extensionL/K such that the base change of A to L is the generic fiber of an abelian scheme over the valuation ring of L. If R is any Dedekind domain with quotient field K, we will say that an abelian variety A/K increase toddler attention spanWebAs the reduction behavior is determined by the Galois representations of the decompositon groups, one can reformulate the problem as follows: let A be an abelian variety over F, p a fixed rational prime, V the p-adic Tate module of A; and for λ primes of F, ρ λ is the p -adic representation on V of the decomposition group G λ at λ. If ρ ... increase to state pension age