A construction of an abelian variety with a given endomorphism algebra
A Family of Abelian Surfaces and Curves of Genus Four.
A Lefschetz decomposition for Chow motives of abelian schemes.
A Note on height pairings on polarized abelian varieties
Let be an abelian variety defined over a number field . In this short Note we give a characterization of the endomorphisms that preserve the height pairing associated to a polarization. We also give a functorial interpretation of this result.
A Note on Height Pairings, Tamagawa Numbers, and the Birch and Swinnerton-Dyer Conjecture.
A note on minimal Galois embeddings of abelian surfaces
A series of smooth irregular varieties in projective space
Abelian surfaces of GL₂-type as Jacobians of curves
Abelian surfaces of type (1, 4).
Abelian varieties and a conjecture of R.M. Robinson.
Abelian varieties and curves in
Abelian varieties in and points of bounded degree on algebraic curves
Algebraic cycles in families of abelian varieties over Hilbert-Blumenthal surfaces.
Algebraic cycles on abelian varieties and their decomposition
For an Abelian Variety , the Künneth decomposition of the rational equivalence class of the diagonal gives rise to explicit formulas for the projectors associated to Beauville's decomposition (1) of the Chow ring , in terms of push-forward and pull-back of -multiplication. We obtain a few simplifications of such formulas, see theorem (4) below, and some related results, see proposition (9) below.
Algebraic Cycles on Abelian Varieties of Fermat Type.
Algebraic cycles on generic abelian varieties
Algebraic groups associated with abelian varieties.
An explicit version of Faltings' Product Theorem and an improvement of Roth's lemma
An iterative construction for ordinary and very special hyperelliptic curves
Si costruiscono famiglie di curve iperellittiche col —rango della varietà jacobiana uguale a zero. La costruzione sfrutta le proprietà elementari dell’operatore di Cartier e delle estensioni -cicliche dei corpi con la caratteristica maggiore di zero.
Arithmetic on curves of genus 1. VIII. On conjectures of Birch and Swinnerton-Dyer.