AbstractWe examine the Mazur–Tate canonical height pairing defined between an abelian variety over a global field and its dual. We show in the case of global function fields that certain of these pairings are annihilated by universal norms coming from Carlitz cyclotomic extensions. Furthermore, for elliptic curves we find conditions for the triviality of these universal norms
AbstractWe present an observation of Ramakrishnan concerning the Tate Conjecture for varieties over ...
AbstractLet E → C be an elliptic surface defined over a number field K, let P: C → E be a section, a...
AbstractLet E → C be an elliptic surface defined over a number field K, let P: C → E be a section, a...
AbstractWe examine the Mazur–Tate canonical height pairing defined between an abelian variety over a...
Let F be a finite extension field of Qp, A an abelian variety defined over F with ordinary good redu...
Let K be a (non-archimedean) local field and let F be the function field of a curve over K. Let D be...
Abstract. If F is a global function field of characteristic p> 3, we employ Tate’s theory of anal...
ABSTRACT. – Beilinson and Bloch have given conditional constructions of height pairings between alge...
AbstractLeonid Stern (1989, J. Number Theory32, 203-219; 1990, J. Number Theory36, 127-132) proves t...
An elliptic curve defined over a number field K => Q, where [K: Q] < oo, is an abelian variety...
AbstractLet E/K be an elliptic curve defined over a number field, let ĥ be the canonical height on E...
If F is a global function field of characteristic p>3, we employ Tate's theory of analytic uniformiz...
If F is a global function field of characteristic p>3, we employ Tate's theory of analytic uniformiz...
AbstractIf F is a global function field of characteristic p>3, we employ Tate's theory of analytic u...
We compare general inequalities between invariants of number fields and invariants of abelian variet...
AbstractWe present an observation of Ramakrishnan concerning the Tate Conjecture for varieties over ...
AbstractLet E → C be an elliptic surface defined over a number field K, let P: C → E be a section, a...
AbstractLet E → C be an elliptic surface defined over a number field K, let P: C → E be a section, a...
AbstractWe examine the Mazur–Tate canonical height pairing defined between an abelian variety over a...
Let F be a finite extension field of Qp, A an abelian variety defined over F with ordinary good redu...
Let K be a (non-archimedean) local field and let F be the function field of a curve over K. Let D be...
Abstract. If F is a global function field of characteristic p> 3, we employ Tate’s theory of anal...
ABSTRACT. – Beilinson and Bloch have given conditional constructions of height pairings between alge...
AbstractLeonid Stern (1989, J. Number Theory32, 203-219; 1990, J. Number Theory36, 127-132) proves t...
An elliptic curve defined over a number field K => Q, where [K: Q] < oo, is an abelian variety...
AbstractLet E/K be an elliptic curve defined over a number field, let ĥ be the canonical height on E...
If F is a global function field of characteristic p>3, we employ Tate's theory of analytic uniformiz...
If F is a global function field of characteristic p>3, we employ Tate's theory of analytic uniformiz...
AbstractIf F is a global function field of characteristic p>3, we employ Tate's theory of analytic u...
We compare general inequalities between invariants of number fields and invariants of abelian variet...
AbstractWe present an observation of Ramakrishnan concerning the Tate Conjecture for varieties over ...
AbstractLet E → C be an elliptic surface defined over a number field K, let P: C → E be a section, a...
AbstractLet E → C be an elliptic surface defined over a number field K, let P: C → E be a section, a...
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