UNLIKELY INTERSECTIONS IN FINITE CHARACTERISTIC

We present a heuristic argument based on Honda-Tate theory against many conjectures in 'unlikely intersections' over the algebraic closure of a finite field; notably, we conjecture that every abelian variety of dimension 4 is isogenous to a Jacobian. Using methods of additive combinatorics...

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Bibliographic Details
Main Authors: Shankar, Ananth (Author), Tsimerman, Jacob (Author)
Other Authors: Massachusetts Institute of Technology. Department of Mathematics (Contributor)
Format: Article
Language:English
Published: Cambridge University Press (CUP), 2019-11-07T18:06:42Z.
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