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 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 … 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 ...

Semistable abelian varieties with good reduction outside 15

Web19 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 … 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 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 … opening ceremony leopard cardigan

CM abelian varieties and potential good reduction

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 ... WebJSTOR Home Web5 de set. de 2024 · Corollary 1.3 thus generalizes the main result of [11], which treats the case where G is the base change to O K of a good reduction abelian variety over a finite unramified extension of Q p . opening ceremony lookbook

Abelian varieties having purely additive reduction

A finiteness theorem for abelian varieties with totally bad reduction

Web18 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 … 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 … opening ceremony in hindiWebAn 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 … iowa vs richmond ncaa

"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 … " - On the good reduction of abelian varieties

On the good reduction of abelian varieties

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 ... 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 …

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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 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 ...

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 … 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 …

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 … 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!

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.

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) opening ceremony invitation templateWebabelian 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 ... opening ceremony in japanese congratulationWebABELIAN 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 … opening ceremony humberto leonWebSerre, 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 … opening ceremony logo hoodie grayWeb1 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 … opening ceremony mens shoesWeb2 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 … opening ceremony lol worlds 2022Web7 de dez. de 2011 · Abstract. We show that there are no non-zero semi-stable abelian varieties over { {\bf Q} (\sqrt {5})} with good reduction outside 3 and we show that the only semi-stable abelian varieties over Q with good reduction outside 15 are, up to isogeny over Q, powers of the Jacobian of the modular curve X 0 (15). Download to read the full … iowa vs rutgers box score