A height bound for abelian schemes with real×Q2 multiplication

Youell, Z. (2023) A height bound for abelian schemes with real×Q2 multiplication. Archiv der Mathematik, 120 (4). pp. 381-394. ISSN 1420-8938 doi: 10.1007/s00013-023-01833-6

Abstract/Summary

In this paper, we prove a height bound for points on the base of a family of abelian varieties at which the fibre possesses additional endomorphisms. This complements a result of André in his book (G-Functions and Geometry Aspects of Mathematics, E13. Friedrich Vieweg and Sohn, Braunschweig, 1989) as well a result of Daw and Orr (Ann Scuol Norm Super Class Sci 39:1, 2021). The work in this paper will be used to prove a new case of the Zilber-Pink conjecture which will form part of the author’s PhD thesis.

Item Type	Article
URI	https://reading-clone.eprints-hosting.org/id/eprint/111259
Identification Number/DOI	10.1007/s00013-023-01833-6
Refereed	Yes
Divisions	Science > School of Mathematical, Physical and Computational Sciences > Department of Mathematics and Statistics
Publisher	Springer
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