Abstract
The elliptic curve E given by Y 2 + (i+ 1) XY + Y = X 3+X 2 acquires good reduction everywhere over the cyclotomic field ℚ(ζ20). We show, under assumption of GRH, that every abelian variety over ℚ(ζ20) with good reduction everywhere is isogenous to E g for some g ≥ 0.Key wordsabelian varietiesgroup schemesgood reductionMathematical Subject Classification (2000)11G1014L0514L15
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.