Results 11 to 20 of about 277 (45)

Families of abelian varieties with many isogenous fibres [PDF]

, 2015
Let Z be a subvariety of the moduli space of principally polarised abelian varieties of dimension g over the complex numbers. Suppose that Z contains a Zariski dense set of points which correspond to abelian varieties from a single isogeny class.
Orr, Martin
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Rational torsion points on Jacobians of modular curves

, 2015
Let $p$ be a prime greater than 3. Consider the modular curve $X_0(3p)$ over $\mathbb{Q}$ and its Jacobian variety $J_0(3p)$ over $\mathbb{Q}$. Let $\mathcal{T}(3p)$ and $\mathcal{C}(3p)$ be the group of rational torsion points on $J_0(3p)$ and the ...
Yoo, Hwajong
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Iwasawa Theory and Motivic L-functions [PDF]

, 2009
We illustrate the use of Iwasawa theory in proving cases of the (equivariant) Tamagawa number ...
Flach, Matthias
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Gonality of modular curves in characteristic p

, 2006
Let k be an algebraically closed field of characteristic p. Let X(p^e;N) be the curve parameterizing elliptic curves with full level N structure (where p does not divide N) and full level p^e Igusa structure. By modular curve, we mean a quotient of any X(
Poonen, Bjorn
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Bounding the $j$-invariant of integral points on certain modular curves

, 2014
In this paper, we obtain two effective bounds for the $j$-invariant of integral points on certain modular curves which has positive genus and less than three ...
Sha, Min
core   +1 more source

On the abelian fivefolds attached to cubic surfaces

, 2013
To a family of smooth projective cubic surfaces one can canonically associate a family of abelian fivefolds. In characteristic zero, we calculate the Hodge groups of the abelian varieties which arise in this way.
Achter, Jeff
core   +1 more source

The Manin constant in the semistable case

, 2018
For an optimal modular parametrization $J_0(n) \twoheadrightarrow E$ of an elliptic curve $E$ over $\mathbb{Q}$ of conductor $n$, Manin conjectured the agreement of two natural $\mathbb{Z}$-lattices in the $\mathbb{Q}$-vector space $H^0(E, \Omega^1 ...
Cesnavicius, Kestutis
core   +3 more sources

Modular Isogeny Complexes

, 2011
We describe a vanishing result on the cohomology of a cochain complex associated to the moduli of chains of finite subgroup schemes on elliptic curves. These results have applications to algebraic topology, in particular to the study of power operations ...
Rezk, Charles
core   +3 more sources

Class invariants for quartic CM fields [PDF]

, 2004
One can define class invariants for a quartic primitive CM field K as special values of certain Siegel (or Hilbert) modular functions at CM points corresponding to K.
Goren, Eyal Z., Lauter, Kristin E.
core   +3 more sources

An explicit Andr\'e-Oort type result for P^1(C) x G_m(C)

, 2014
Using class field theory we prove an explicit result of Andr\'e-Oort type for $\mathbb{P}^1(\mathbb{C}) \times \mathbb{G}_m(\mathbb{C})$. In this variation the special points of $\mathbb{P}^1(\mathbb{C})$ are the singular moduli, while the special points
Paulin, Roland
core