Abstract
We deal with g-dimensional abelian varieties X over finite fields. We prove that there is a universal constant (positive integer) N=N(g) that depends only on g that enjoys the following property. If a certain self-product of X carries an exotic Tate class then the self-product X 2N of X also carries an exotic Tate class. This gives a positive answer to a question of Kiran Kedlaya.
Talk to us
Join us for a 30 min session where you can share your feedback and ask us any queries you have
Disclaimer: All third-party content on this website/platform is and will remain the property of their respective owners and is provided on "as is" basis without any warranties, express or implied. Use of third-party content does not indicate any affiliation, sponsorship with or endorsement by them. Any references to third-party content is to identify the corresponding services and shall be considered fair use under The CopyrightLaw.