Ranks of abelian varieties in cyclotomic twist families

Cites Work

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Coregular spaces and genus one curves
Disparity in Selmer ranks of quadratic twists of elliptic curves
On the Davenport-Heilbronn theorems and second order terms
Binary quartic forms having bounded invariants, and the boundedness of the average rank of elliptic curves
The size of Selmer groups for the congruent number problem. II. With an appendix by P. Monsky.
The Magma algebra system. I: The user language
Cubic number fields and cubic form classes
The average rank of elliptic curves. I. (With an appendix by Oisín McGuinness: The explicit formula for elliptic curves over function fields)
Fourier coefficients of modular forms on \(G_2\).
Higher composition laws. I: A new view on Gauss composition, and quadratic generalizations
Uniformity in Mordell-Lang for curves
Ternary cubic forms having bounded invariants, and the existence of a positive proportion of elliptic curves having rank 0
\(3\)-isogeny Selmer groups and ranks of abelian varieties in quadratic twist families over a number field
Vinberg's representations and arithmetic invariant theory
Finding large Selmer rank via an arithmetic theory of local constants
Twisted Fermat curves over totally real fields
Explicit descent for Jacobians of prime power cyclic covers of the projective line
Selmer groups as flat cohomology groups
Division by 1–ζ on Superelliptic Curves and Jacobians
Quadratic Twists of Abelian Varieties With Real Multiplication
The average size of the 3‐isogeny Selmer groups of elliptic curves y2=x3+k
Arithmetic invariant theory
p-Selmer growth in extensions of degree p
Independence of rational points on twists of a given curve
Arithmetic statistics of Prym surfaces
Rank growth of elliptic curves over 𝑁-th root extensions
A Chabauty-Coleman bound for surfaces

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