SEMINARIO DI
MATEMATICA
ore
16.00
Scuola Normale
Superiore
Pisa
(Aula
Mancini)
SNS
Terrà
un seminario dal titolo:
“An
effective Siegel theorem for function fields”
Abstract:
The finiteness of ($S$-)integral points on an elliptic curve over a
number field follows from Siegel's theorem, but Siegel's methods do not allow to
effectively compute those points. Working on an elliptic curve defined over a
function field, one can obtain a similar finiteness result with explicit bounds
on the height of the $S$-integral points and some uniformity in the places of
$S$. This is done along the lines of the proof of Siegel's result, using an
effective theorem by Julie Wang where in the number field case the ineffective
Roth's theorem is used.
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Classe
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