Errata to “Hermitian $u$-invariants over function fields of $p$-adic curves”
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- by Zhengyao Wu PDF
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Abstract:
These pages rectify three types of errors in Proc. Amer. Math. Soc. 146 (2018), 909–920.
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We specify that $u^{0}$ depends on the fixed subfield of the unitary involution.
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We extend the definition of Springer’s property for unitary involutions and re-prove Corollary 3.5 only for quaternion algebras.
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We add assumptions that characteristics of residue fields are not 2.
References
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- M. G. Mahmoudi, Hermitian forms and the $u$-invariant, Manuscripta Math. 116 (2005), no. 4, 493–516. MR 2140216, DOI 10.1007/s00229-005-0541-x
- Winfried Scharlau, Quadratic and Hermitian forms, Grundlehren der mathematischen Wissenschaften [Fundamental Principles of Mathematical Sciences], vol. 270, Springer-Verlag, Berlin, 1985. MR 770063, DOI 10.1007/978-3-642-69971-9
- Zhengyao Wu, Hasse principle for hermitian spaces over semi-global fields, J. Algebra 458 (2016), 171–196. MR 3500773, DOI 10.1016/j.jalgebra.2016.02.027
- Zhengyao Wu, Hermitian $u$-invariants over function fields of $p$-adic curves, Proc. Amer. Math. Soc. 146 (2018), no. 3, 909–920. MR 3750205, DOI 10.1090/proc/13413
Additional Information
- Zhengyao Wu
- Affiliation: Department of Mathematics, Shantou University, 243 Daxue Road, Shantou, Guangdong, People’s Republic of China 515063
- MR Author ID: 1160755
- Email: wuzhengyao@stu.edu.cn
- Received by editor(s): June 29, 2018
- Received by editor(s) in revised form: July 1, 2018
- Published electronically: April 22, 2020
- Communicated by: Matthew Papanikolas
- © Copyright 2020 American Mathematical Society
- Journal: Proc. Amer. Math. Soc. 148 (2020), 3657-3659
- MSC (2010): Primary 11E39
- DOI: https://doi.org/10.1090/proc/14508
- MathSciNet review: 4108869