On the good reduction of abelian varieties

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August undefined, 2024

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 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 …

Reduction of Abelian Varieties SpringerLink

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

On potential good reduction of abelian varieties - ResearchGate

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 … 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 … 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 … how many provinces in bulgaria

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

Good Reduction of Abelian Varieties

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 ... 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 … how many provinces in canada numberWeb7 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 … how many provinces in bc

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

On the good reduction of abelian varieties

The Néron fiber of abelian varieties with potential good reduction ...

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 … 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 …

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

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 … 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.

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 … 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 …

Web1 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.

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! how customer service award ideasWebAs 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 … how customer service affects salesWeb23 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 … how customer service compliance austaliaWebGood 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), … how customers evaluate goods and servicesWebAuthor: 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 … how customers’ expectations are formedWebIn 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 how many provinces in canada are bilingualWeb16 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 … how customer service is measured