On the good reduction of abelian varieties

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. 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 …

Galois representations attached to Q-curves and the

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) bj\u0027s in olean ny https://pascooil.com

Arithmetik und Geometrie algebraischer Zyklen: Verfahren des …

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 ... 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 … 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 ... dating sites for italian american

Abelian varieties having purely additive reduction

Category:arXiv:2302.03986v1 [math.NT] 8 Feb 2024

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On the good reduction of abelian varieties

Finiteness Theorems for Abelian Varieties over Number Fields

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 … 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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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! 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 …

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 … 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 …

WebIn 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 WebJSTOR Home

Web21 de jun. de 2005 · We show that any semi-stable abelian variety over $\mathbb{Q}$ with good reduction outside l = 11 is isogenous to a power of the Jacobian variety of the …

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 … bj\u0027s in palm bay flWeb1 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. dating sites for italian americansWebsupersingular abelian subvariety. Mathematics Subject Classification: 14K15 (11R45) Keywords: abelian varieties, rational points, reduction, Galois groups, density … bj\u0027s in northern vaWeb19 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 … bj\u0027s in north hillsWeb18 de fev. de 2004 · Let K be a number field and A an abelian variety over K. We are interested in the following conjecture of Morita: if the Mumford-Tate group of A does not contain unipotent ℚ-rational points then A has potentially good reduction at any discrete place of K. The Mumford-Tate group is an object of analytical nature whereas having … bj\u0027s in palm beachWebAbstract. Mumford (Math. Ann. 181 (1969) 345-351) constructs families of abelian varieties which are parametrized by Shimura varieties but which are not of PEL type. In this paper we investigate ... dating sites for large peopleWebSemantic 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 … bj\u0027s in plymouth