2024 On the good reduction of abelian varieties

On the good reduction of abelian varieties

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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 … 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 …

Good reduction of finite etale covers of abelian varieties

WebJSTOR Home WebAbstract. 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 ... the same and not the same pdf

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

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 … 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 … Webhaving “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 … the same all

Finiteness Theorems for Abelian Varieties over Number Fields

Étale Cohomology and Reduction of Abelian Varieties

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 … Web7 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 … the same and not the same roald hoffmannWebSerre, 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 ... traditional chilean dress

"Websupersingular abelian subvariety. Mathematics Subject Classiﬁcation: 14K15 (11R45) Keywords: abelian varieties, rational points, reduction, Galois groups, density … " - On the good reduction of abelian varieties

On the good reduction of abelian varieties

LOGARITHMIC GOOD REDUCTION OF ABELIAN VARIETIES

Web5 de set. de 2024 · Later, Raynaud [Reference Raynaud Ray71] and Bosch and Lütkebohmert [Reference Bosch and Lütkebohmert BL85, Reference Bosch and … Web1 Answer. Sorted by: 4. The answer to (a) is yes. The conductor is given by the representation of an inertia group I v in the Tate module. As T ℓ ( A × B) = T ℓ ( A) × T ℓ ( B), the additivity is easy to see from definition (Serre: Facteurs locaux des fonctions zêta des variétés algébriques, §2. The definition you cite is the same ...

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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 … 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 …

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 … 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 …

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 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 ... 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 ...

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 …

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 traditional chilean food dishesWeb18 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 … the same amount of principal is investedWebBig 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 ... the same and identical cerealWebEntdecke 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! traditional chilean foodsWeb1 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 … traditional chilean holidays traditional china wedding dresses walmartWebÉtale 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 … traditional chilean food recipes