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Erratum to Profinite rigidity for twisted Alexander polynomials (J. reine angew. Math. 771 (2021), 171–192)

This erratum corrects the original online version which can be found here: https://doi.org/10.1515/crelle-2020-0014
  • Jun Ueki EMAIL logo
Published/Copyright: January 6, 2022

Abstract

We clarify the definition of the divisorial hull and recollect some basic facts. Then we correct Lemma 4.2 and Theorem 11.2 (1)–(2) in the original article.

Acknowledgements

I am grateful to Jonathan Hillman, Hirotaka Koga, Tomoki Mihara, Yuya Murakami, Ryoto Tange, and Tomoki Yuji for helpful communication. This work was partially supported by JSPS KAKENHI Grant Number JP19K14538.

References

[1] M. F. Atiyah and I. G. Macdonald, Introduction to commutative algebra, Addison-Wesley, Reading 1969. Search in Google Scholar

[2] N. Bourbaki, Éléments de mathématique. Fasc. XXXI. Algèbre commutative. Chapitre 7: Diviseurs, Act. Sci. Industr. 1314, Hermann, Paris 1965. Search in Google Scholar

[3] S. Friedl, T. Kim and T. Kitayama, Poincaré duality and degrees of twisted Alexander polynomials, Indiana Univ. Math. J. 61 (2012), no. 1, 147–192. 10.1512/iumj.2012.61.4779Search in Google Scholar

[4] J. Hillman, Algebraic invariants of links, 2nd ed., Ser. Knots Everything 52, World Scientific Publishing, Hackensack, 2012. 10.1142/8493Search in Google Scholar

[5] T. Ochiai, Iwasawa theory and its perspective I (in Japanese), Iwanami Stud. Adv. Math., Iwanami Shoten, Tokyo 2014. Search in Google Scholar

[6] R. Tange, Fox formulas for twisted Alexander invariants associated to representations of knot groups over rings of S-integers, J. Knot Theory Ramifications 27 (2018), no. 5, Article ID 1850033. 10.1142/S0218216518500335Search in Google Scholar

[7] J. Ueki, Profinite rigidity for twisted Alexander polynomials, J. reine angew. Math. 771 (2021), 171–192. 10.1515/crelle-2020-0014Search in Google Scholar

Received: 2021-11-12
Published Online: 2022-01-06
Published in Print: 2022-02-01

© 2022 Walter de Gruyter GmbH, Berlin/Boston

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