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| = Modular Abelian Varieties = == Todo on March 16 == * Move functions out of abvar_modsym_factor into abvar and delete that file. * Torsion subgroups: * Refactor base class * Get implementation to work with defining data being (lattice, abvar); compute generators. * Decomposition: * three types: * ungrouped as simple abvars (default) * groups abvars * over End(A) * Label function * Create from label * Create a small mock database * Compute the Hecke algebra image in End(A) and find a good clean way to represent for Hecke stable. New object that is a subring of End(A). Have methods like {{{R.index_in(S)}}}. * Compute End(A) in general. * Morphisms: * Kernels * Cokernels * Quotients by finite subgroup * Intersection pairing * Poincare Reducibility: * projection * Quotients by abelian subvariety * Minimal isogeny degree for A, B simple. == Todo on March 17 == * Optimize decomposition |
http://trac.sagemath.org/sage_trac/ticket/2544 |
