modeled after a theorem of Simpson. Inspired by work of Corlette-Simpson over, we formulate a conjecture that absolutely irreducible rank 2 local systems with infinite monodromy onXcome from families of abelian varieties. We have the following application...
Rank 2 local systems and abelian varieties Page 5 of 40 51 When X is projective, L being rigid means it yields an isolated (though not nec- essarily reduced) point in the character variety associated to π1(X ). For general quasi-projective X , the notion of rigidity involves a ...
D. MASSER, 'Small values of heights on families of abelian varieties', Diophantine approximation and transcendence theory, (Bonn 1985) 109-148. Lecture Notes in Mathematics, 1290 (Springer, Berlin 1987).D. Masser. Small values of heights on families of abelian varieties. Diophantine approximation...
In this paper, we discuss the problem of whether the difference[X]−[Y]of the classes of a Fourier–Mukai pair (X,Y) of smooth projective varieties in the Grothendieck ring of varieties is annihilated by some power of the classL=[A1]of the affine line. We give an affirmative answer ...
1 .1 Let X → S be a one-parameter algebraic family of Abelian varieties. We denote by D the endomorphism algebra (Math) of the geometric generic fibers Then for any geometric point s of S , there is a natural embedding of Φ-algebra (with unit) $ D \hookrightarrow En{d_0}{x_...