Results 21 to 30 of about 284 (57)
Matrices induced by arithmetic functions, primes and groupoid actions of directed graphs
Special Matrices, 2015 In this paper, we study groupoid actions acting on arithmetic functions. In particular, we are interested in the cases where groupoids are generated by directed graphs. By defining an injective map α from the graph groupoid G of a directed graph G to the
Cho Ilwoo, Jorgensen Palle E. T.
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Remark on the rank of elliptic curves [PDF]
, 2009 A covariant functor on the elliptic curves with complex multiplication is constructed. The functor takes values in the noncommutative tori with real multiplication. A conjecture on the rank of an elliptic curve is formulated.Comment: 13 pages, 2 figures;
Nikolaev, Igor
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A note on the Mumford-Tate Conjecture for CM abelian varieties
, 2014 The Mumford-Tate conjecture is first proved for CM abelian varieties by H. Pohlmann [Ann. Math., 1968]. In this note we give another proof of this result and extend it to CM motives.Comment: 10 pages, to appear in Taiwanese J ...
Yu, Chia-Fu
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Large Cyclic Subgroups of Jacobians of Hyperelliptic Curves [PDF]
, 2007 In this paper we obtain conditions on the divisors of the group order of the Jacobian of a hyperelliptic genus 2 curve, generated by the complex multiplication method described by Weng (2003) and Gaudry (2005). Examples, where these conditions imply that
Ravnshoj, Christian Robenhagen
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Varieties of sums of powers and moduli spaces of (1,7)-polarized abelian surfaces
, 2017 We study the geometry of some varieties of sums of powers related to the Klein quartic. This allows us to describe the birational geometry of certain moduli spaces of abelian surfaces.
Bolognesi, Michele, Massarenti, Alex
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Deformations of Theta Integrals and A Conjecture of Gross-Zagier
Forum of Mathematics, SigmaIn this paper, we complete the proof of the conjecture of Gross and Zagier concerning algebraicity of higher Green functions at a single CM point on the product of modular curves. The new ingredient is an analogue of the incoherent Eisenstein series over
Jan H. Bruinier +2 more
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On Colmez's product formula for periods of CM-abelian varieties
, 2012 Colmez conjectured a product formula for periods of abelian varieties with complex multiplication by a field K, analogous to the standard product formula in algebraic number theory.
Obus, Andrew
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Rigid meromorphic cocycles for orthogonal groups
Forum of Mathematics, SigmaRigid meromorphic cocycles are defined in the setting of orthogonal groups of arbitrary real signature and constructed in some instances via a p-adic analogue of Borcherds’ singular theta lift.
Lennart Gehrmann +2 more
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The Galois theory of the lemniscate [PDF]
, 2012 This article studies the Galois groups that arise from division points of the lemniscate. We compute these Galois groups two ways: first, by class field theory, and second, by proving the irreducibility of lemnatomic polynomials, which are analogs of ...
Cox, David A., Hyde, Trevor
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Some remarks on K-lattices and the Adelic Heisenberg Group for CM curves
, 2015 We define an adelic version of a CM elliptic curve $E$ which is equipped with an action of the profinite completion of the endomorphism ring of $E$. The adelic elliptic curve so obtained is provided with a natural embedding into the adelic Heisenberg ...
D'Andrea, Francesco, Franco, Davide
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