WebJan 15, 2001 · In the particular case of abelian varieties over ℚ with real multiplication, we easily deduce from our criterion a new proof of the Tate conjecture which is independent of G. Faltings's work [11], as well as a bound for the minimal degree of an isogeny between two isogenous abelian varieties, as in the paper of D. Masser and G. Wüstholz [17]. WebJan 15, 2001 · His theorem unifies and generalizes results of Chudnovsky's and Y. Andr\'e, motivated by an arithmetic conjecture of Grothendieck that predicts that the solutions of certain differential equations ...
On maps between modular Jacobians and Jacobians of Shimura …
WebThese classes include abelian varieties of prime dimension that have nontrivial endomorphism ring. The proof uses a crystalline analogue of Faltings’ isogeny theorem due to Bost and the known cases of the Mumford–Tate conjecture. We also discuss some strengthenings of the theorem of Bost. Terms of Use WebFlory–Huggins solution theory is a lattice model of the thermodynamics of polymer solutions which takes account of the great dissimilarity in molecular sizes in adapting the usual … most common ammunition types
Arithmetic properties of the Shimura–Shintani–Waldspurger ...
WebIn arithmetic geometry, Faltings' product theorem gives sufficient conditions for a subvariety of a product of projective spaces to be a product of varieties in the projective … WebThen a Weil restriction argument, together with Faltings’ isogeny theorem, allows one to conclude. We now explain the new ingredients in turn, highlighting the additional difficulties. Remark 1.7 (Sketch of the proof of Theorem 1.4). Again for notational simplicity, assume that Lcorresponds to a representation: ρ: π1(UK) →GL2(Zℓ),. WebDec 19, 2008 · The rationality is applied to give a direct construction of isogenies between new quotients of Jacobians of Shimura curves, completely independent of Faltings’ isogeny theorem. Download to read the full article text References Baruch, E.M., Mao, Z.: Central values of automorphic L -functions. Geom. Funct. Anal. 17 (2), 333–384 (2007) mini adult coloring books bulk