UNLIKELY INTERSECTIONS IN FINITE CHARACTERISTIC
Name
unlikely_intersections_in_finite_characteristic.pdf
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271.93 KB
Format
Adobe PDF
Checksum (MD5)
e7509ba453a8f034a64b41e00a6a7de2
Author(s)
Shankar, Ananth
Tsimerman, Jacob
Date Issued
August 2018
Journal
Forum of Mathematics, Sigma
Publisher
Cambridge University Press (CUP)
Citation
Shankar, A. and Tsimerman, J. UNLIKELY INTERSECTIONS IN FINITE CHARACTERISTIC. Forum of Mathematics, Sigma, 6 (August 2018): E13 © 2018 The Author(s)
Version
Final published version
Abstract
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, we answer a related question of Chai and Oort where the ambient Shimura variety is a power of the modular curve.
MIT Department
Massachusetts Institute of Technology. Department of Mathematics
Terms of Use
Creative Commons Attribution 4.0 International license
Persistent DSpace Link
DOI of Published Version
https://doi.org/10.1017/fms.2018.15
