Third Italian Number Theory Meeting

# On the canonical height on the endomorphisms ring of a vector space over a global function field

speaker: Valerio Talamanca (Universita' Roma Tre)

abstract: n this talk I will discuss the construction of a canonical height on the endomorphisms ring of a vector space $E$ over a global function field $$k$$. The height constructed satisfies a limit formula, analogous to the formula satisfied by the canonical height attached to an ample line bundle on an abelian variety, with respect to any heights on $$E$$ given by the assignment of a pure adelic vector bundle structure on $$E$$. As a consequence we will construct the canonical height on any \'etale $$k$$-algebra.

timetable:
Wed 23 Sep, 14:30 - 14:55, Aula Russo
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