On the good reduction of abelian varieties

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WebAuthor: Haruzo Hida Publisher: Springer Science & Business Media ISBN: 1468493906 Category : Mathematics Languages : en Pages : 390 Download Book. Book …

Torsion points of abelian varieties with values in infinite …

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 ... WebAuthor: Haruzo Hida Publisher: Springer Science & Business Media ISBN: 1468493906 Category : Mathematics Languages : en Pages : 390 Download Book. Book Description In the early years of the 1980s, while I was visiting the Institute for Ad vanced Study (lAS) at Princeton as a postdoctoral member, I got a fascinating view, studying congruence … share alexa shopping list

Étale Cohomology and Reduction of Abelian Varieties

WebIn this paper we study the reduction of abelian varieties. In particular, we study the relationships between n-torsion points onXand the reduction of X, where X is an abelian … 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 … 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), … poolfolie rund 400 x 120

CM abelian varieties and potential good reduction

A finiteness theorem for abelian varieties with totally bad reduction

WebAn 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 … 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 users and to provide you with a better experience on our websites. pool flow valveWeb7 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. share alerts

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

On the good reduction of abelian varieties

Abelian varieties over ﬁnite ﬁelds - New York University

WebJacobian varieties J0(l2) of the modular curves X0(l2) are other examples of abelian vari- eties over Q that have good reduction at all primes diﬀerent from l. These abelian varieties are not semi-stable at l. However, S.J. Edixhoven [5] showed that J0(l2) acquires semi- stable reduction at l over an extension that is merely tamely ramiﬁed at l. 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 …

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WebWe study semistable reduction and torsion points of abelian varieties. In particular, we give necessary and sufficient conditions for an abelian variety to have semistable reduction. We also study Néron models of abelian varieties with potentially good reduction and torsion points of small order. We study some invariants that measure the … WebAbstract: Under assumption of the Generalized Riemann Hypothesis we show that every abelian variety over Q(\\sqrt{97}) with good reduction everywhere is isoge...

WebThe Hecke orbit conjecture asserts that every prime-to- Hecke orbit in a Shimura variety is dense in the central leaf containing it. In this paper, we prove the conjecture for certain … WebBig monodromy theorem for abelian varieties over ﬁnitely generated ﬁelds Sara Arias-de-Reyna Institut fu¨r Experimentelle Mathematik, 45326 Essen, Germany ... Jean-Pierre Serre and J. Tate. Good reduction of abelian varieties. Annals of Mathematics, 88, No. 3:492–517, 1968. [26] Adrian Vasiu. Some cases of the Mumford-Tate conjecture and ...

WebRecall 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 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 …

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 ...

Weban imaginary quadratic ﬁeld K with a prime of bad reduction greater than 6 has a surjective mod p Galois representation. The bound on p depends on K and the degree of the isogeny ... one wonders whether modular abelian varieties can address the classical problem of describing all solutions to the generalized Fermat equation Ap +Bq = Cr (1.1) share alexandriaWeb19 de fev. de 1996 · We study semistable reduction and torsion points of abelian varieties. In particular, we give necessary and sufficient conditions for an abelian variety to have … poolfolie rund 6x1 20WebThe 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 … pool flyerWebGood Reduction of Abelian Varieties - wstein poolfolie rund 550 x 120WebEntdecke Arithmetik und Geometrie algebraischer Zyklen: Verfahren des NATO-Fortschritts in großer Auswahl Vergleichen Angebote und Preise Online kaufen bei eBay Kostenlose Lieferung für viele Artikel! share alexa skill in developmentWebhaving “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 … share alexa app with familyWebÉtale 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 ... pool folding chairs