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- W2067579595 abstract "Let $k$ denote an algebraically closed field. We revisit a construction of the author of families of elliptic curves over the rational function field $k(t)$. Combining a combinatorial analysis with a rank formula of Ulmer we prove that, for all but finitely many families of these curves, the Mordell-Weil groups over $k(t^{1/d})$ have rank zero, as $d$ ranges over positive integers prime to the characteristic of $k$." @default.
- W2067579595 created "2016-06-24" @default.
- W2067579595 creator A5035041960 @default.
- W2067579595 date "2011-05-30" @default.
- W2067579595 modified "2023-09-27" @default.
- W2067579595 title "Elliptic curves with bounded ranks in function field towers" @default.
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