Results 11 to 20 of about 258 (25)
A simplified proof of the Andre-Oort conjecture for products of modular curves [PDF]
, 2012 In this paper we give a short proof of the André-Oort conjecture for products of modular curves under the Generalised Riemann Hypothesis using only simple Galois-theoretic and geometric arguments.
Daw, Chris
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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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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
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Abelian surfaces of GL2-type as Jacobians of curves
, 2004 We study the set of isomorphism classes of principal polarizations on abelian varieties of GL2-type. As applications of our results, we construct examples of curves C, C'/\Q of genus two which are nonisomorphic over \bar \Q and share isomorphic ...
Gonzalez, Josep +2 more
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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.
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Higher real K-theories and topological automorphic forms
, 2009 Given a maximal finite subgroup G of the nth Morava stabilizer group at a prime p, we address the question: is the associated higher real K-theory EO_n a summand of the K(n)-localization of a TAF-spectrum associated to a unitary similitude group of type ...
Behrens, Mark, Hopkins, Michael J.
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, 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
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Local diophantine properties of modular curves of $\cal{D}$-elliptic sheaves [PDF]
, 2010 We study the existence of rational points on modular curves of $\cal{D}$-elliptic sheaves over local fields and the structure of special fibres of these curves.
Papikian, Mihran
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Partial Hasse invariants on splitting models of Hilbert modular varieties [PDF]
, 2016 Let $F$ be a totally real field of degree $g$, and let $p$ be a prime number. We construct $g$ partial Hasse invariants on the characteristic $p$ fiber of the Pappas-Rapoport splitting model of the Hilbert modular variety for $F$ with level prime to $p$,
Reduzzi, Davide A., Xiao, Liang
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