Exceptional splitting of reductions of abelian surfaces

DOI10.1215/00127094-2019-0046zbMath1489.11085arXiv1706.08154OpenAlexW2641582256MaRDI QIDQ2178448

Ananth N. Shankar, Yunqing Tang

Publication date: 11 May 2020

Published in: Duke Mathematical Journal (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1706.08154

zbMATH Keywords

Hilbert modular surfacesArakelov intersection theoryBorcherds theory

Mathematics Subject Classification ID

Elliptic curves over global fields (11G05) Arithmetic aspects of modular and Shimura varieties (11G18) Arithmetic varieties and schemes; Arakelov theory; heights (14G40)

Related Items (5)

Exceptional jumps of Picard ranks of reductions of K3 surfaces over number fields ⋮ Homotopic and geometric Galois theory. Abstracts from the workshop held March 7--13, 2021 (online meeting) ⋮ Picard ranks of \(K3\) surfaces over function fields and the Hecke orbit conjecture ⋮ Equidistribution of Hodge loci II ⋮ Reductions of abelian surfaces over global function fields

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