Arithmetic intersection on a Hilbert modular surface and the Faltings height

DOI10.4310/AJM.2013.v17.n2.a4zbMath1298.11056arXiv1008.1854MaRDI QIDQ384632

Tonghai Yang

Publication date: 28 November 2013

Published in: The Asian Journal of Mathematics (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1008.1854

zbMATH Keywords

arithmetic intersectionColmez conjectureFaltings' heightHilbert modular surfaceHirzebruch-Zagier divisorIgusa invariants

Mathematics Subject Classification ID

Complex multiplication and moduli of abelian varieties (11G15) Complex multiplication and abelian varieties (14K22) Automorphic forms on (mbox{GL}(2)); Hilbert and Hilbert-Siegel modular groups and their modular and automorphic forms; Hilbert modular surfaces (11F41)

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