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- W2812738929 abstract "Let $E/bbq$ be an elliptic curve defined over $bbq$ with conductor $N$ and $gq$ the absolute Galois group of an algebraic closure $bar{bbq}$ of $bbq$. We prove that for every $sigmain gq$, the Mordell-Weil group $E(oqs)$ of $E$ over the fixed subfield of $bar{bbq}$ under $sigma$ has infinite rank. Our approach uses the modularity of $E/bbq$ and a collection of algebraic points on $E$ -- the so-called {em Heegner points} -- arising from the theory of complex multiplication." @default.
- W2812738929 created "2018-07-19" @default.
- W2812738929 creator A5018636483 @default.
- W2812738929 date "2004-11-24" @default.
- W2812738929 modified "2023-09-27" @default.
- W2812738929 title "Heegner points and Mordell-Weil groups over large fields" @default.
- W2812738929 hasPublicationYear "2004" @default.
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