On the good reduction of abelian varieties

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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 … 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 …

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

Web23 de jun. de 2004 · Consider a point of infinite order on an abelian variety over a number field. Then its reduction at any place v of good reduction is a torsion point. For most of … 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 … how do you spell a pond

On The Hecke Orbit Conjecture for PEL Type Shimura Varieties

WebThe abelian varieties of GL 2-type are not absolutely simple in general: they factor up to isogeny as products of varieties defined over number fields.After some work done by Elkies in the one-dimensional case and by Ribet in general, in [pyle] Pyle gives a characterization of the abelian varieties defined over number fields that appear in the absolute … WebÉtale 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 … 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 … how do you spell a in canada

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

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 ... WebAbstract: Under assumption of the Generalized Riemann Hypothesis we show that every abelian variety over Q(\\sqrt{97}) with good reduction everywhere is isoge... how do you spell a new cupWebAbstract: Under assumption of the Generalized Riemann Hypothesis we show that every abelian variety over Q(\\sqrt{97}) with good reduction everywhere is isoge... how do you spell a round

"Webabelian 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 ... " - On the good reduction of abelian varieties

On the good reduction of abelian varieties

Galois representations, Mumford-Tate groups and good reduction …

WebGood Reduction of Abelian Varieties - wstein Websupersingular abelian subvariety. Mathematics Subject Classiﬁcation: 14K15 (11R45) Keywords: abelian varieties, rational points, reduction, Galois groups, density …

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Webabelian varieties, either both have, or both have not, good reduction at v. Indeed, f maps T,(A) onto a subgroup of finite index of T,(A') and, if I(vj) acts trivially on the former, it … 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 ...

WebOn p-adic uniformization of abelian varieties with good reduction - Volume 158 Issue 7. Skip to main content Accessibility help We use cookies to distinguish you from other … WebABELIAN VARIETIES WITH POTENTIALLY ORDINARY REDUCTION 817 is a P:= P(a) ∈ Q p.Thena is an analytic function of the rigid analytic space associatedtoSpf(I)(inthesenseofBerthelotasin[dJ],Section7). Each (reduced) irreducible component Spec(I) ⊂ Spec(h) has a 2-dimensional absolutely irreducible continuous …

Web7 de mai. de 2012 · We show that there do not exist any non-zero semi-stable abelian varieties over Q with good reduction outside l if and only if l=2, 3, 5, 7 or 13. 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 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 ...

Web11 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 …

WebKey words and phrases. Simple abelian variety, good reduction, p-rank of an abelian variety, Barsotti-Tate group, Dieudonné module, indefinite quaternion algebra, ordinary and supersingu-lar elliptic curves. 'This note is taken from author's Ph. D. thesis, SUNY at Stony Brook, May 1975. The author how do you spell a thousandWeb1 de dez. de 2009 · Let A be an abelian variety over a p-adic field K and L an algebraic infinite extension over K.We consider the finiteness of the torsion part of the group of rational points A(L) under some assumptions. In 1975, Hideo Imai proved that such a group is finite if A has good reduction and L is the cyclotomic Z p-extension of K.In this paper, first we … phone service with googleWeb16 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 … how do you spell a. b. cWebOn p-adic uniformization of abelian varieties with good reduction - Volume 158 Issue 7. Skip to main content Accessibility help We use cookies to distinguish you from other users and to provide you with a better experience on our websites. phone service with verizonWebÉtale 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 reset password. Enter the email address you signed up with and we'll email you a reset link. Need an account? Click here to sign up. Log In Sign Up. Log In; Sign Up; more; Job ... phone serviceest voip for businessWeb5 de set. de 2024 · Later, Raynaud [Reference Raynaud Ray71] and Bosch and Lütkebohmert [Reference Bosch and Lütkebohmert BL85, Reference Bosch and … how do you spell abandoned houseWebAn 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 … how do you spell aaron in spanish