Erratum to “Tame topology of arithmetic quotients and algebraicity of Hodge loci”

Bakker, B.; Klingler, B.; Tsimerman, J.

doi:10.1090/jams/1025

Erratum to “Tame topology of arithmetic quotients and algebraicity of Hodge loci”
HTML articles powered by AMS MathViewer

by B. Bakker, B. Klingler and J. Tsimerman;

J. Amer. Math. Soc. 36 (2023), 1305-1308

DOI: https://doi.org/10.1090/jams/1025

Published electronically: May 11, 2023

HTML | PDF | Request permission

Abstract:

We correct an error in the functoriality of the $\mathbb {R}_\mathrm {alg}$-definable structures on arithmetic quotients $\Gamma \backslash G/M$ constructed in [B. Bakker, B. Klingler, and J. Tsimerman, Tame topology of arithmetic quotients and algebraicity of Hodge loci, J. Amer. Math. Soc. 33 (2020), no. 4, 917-939]. The statements for Hodge manifolds and period maps are unaffected.

References

B. Bakker, C. Grimm, T. Schnell, and J. Tsimerman. Finiteness for self-dual classes in integral variations of Hodge structure, arXiv:2112.06995, 2021.
B. Bakker, B. Klingler, and J. Tsimerman, Tame topology of arithmetic quotients and algebraicity of Hodge loci, J. Amer. Math. Soc. 33 (2020), no. 4, 917–939. MR 4155216, DOI 10.1090/jams/952
Armand Borel and Harish-Chandra, Arithmetic subgroups of algebraic groups, Ann. of Math. (2) 75 (1962), 485–535. MR 147566, DOI 10.2307/1970210
Martin Orr, Height bounds and the Siegel property, Algebra Number Theory 12 (2018), no. 2, 455–478. MR 3803710, DOI 10.2140/ant.2018.12.455