On the good reduction of abelian varieties

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August undefined, 2024

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 …

A finiteness property of abelian varieties with potentially ordinary ...

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 … 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 … bing homepage quiz today feck

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

WebAuthor: Haruzo Hida Publisher: Springer Science & Business Media ISBN: 1468493906 Category : Mathematics Languages : en Pages : 390 Download Book. Book … 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 … 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 … bing homepage quiz today feedback 1236

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Abelian varieties having purely additive reduction

WebSemantic Scholar extracted view of "Abelian varieties having purely additive reduction" by H. Lenstra et al. Skip to search form Skip to main content ... such that if K/Q_p is a … 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 … bing homepage quiz today ansWebThe 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 … bing homepage quiz today fec

"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 … " - On the good reduction of abelian varieties

On the good reduction of abelian varieties

On p -adic uniformization of abelian varieties with good reduction

WebEntdecke 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! Web1 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 …

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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), … 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 ...

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 … 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 …

WebGood Reduction of Abelian Varieties - wstein 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 …

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)

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. bing homepage quiz today feedback 124WebA 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 … bing homepage quiz today fedWebAn 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 … bing homepage quiz today fedbWebIn 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 … bing homepage quiz today feedback answWebIn 1929, Weil [17] generalized the Mordell’s theorem to all abelian varieties over number ﬁelds. And then, Faltings [5] proved the Mordell’s conjecture in 1983. But Falting’s proof is not effective. ... Weil rank r2r+2. Denote by Cthe reduction of Cmodulo p. Then (2) #C(Q)≤#C(F bing homepage quiz today fedbaWeb11 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 … bing homepage quiz today febak123Webhaving “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 … bing homepage quiz today 10