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math.NT2012
Elementary Matrix Decomposition and The Computation of Darmon Points with Higher Conductor
Xavier Guitart, Marc Masdeu
We extend the algorithm of Darmon-Green and Darmon-Pollack for computing p-adic Darmon points on elliptic curves to the case of composite conductor. We also extend the algorithm of…
math.NT2011
Abelian varieties with many endomorphisms and their absolutely simple factors
Xavier Guitart
We characterize the abelian varieties arising as absolutely simple factors of GL2-type varieties over a number field k. In order to obtain this result, we study a wider class of ab…