The spinor genus of the integral trace
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- by Guillermo Mantilla-Soler PDF
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Abstract:
Let $K$ be a number field of degree at least $3$. In this article we show that the genus of the integral trace form of $K$ contains only one spinor genus. Additionally we show that exactly $43\%$ (resp. $29\%$, resp. $58\%$) of quadratic (resp. real quadratic, resp. imaginary quadratic) fields have the same property.References
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Additional Information
- Guillermo Mantilla-Soler
- Affiliation: Departamento de Matemáticas, Universidad de los Andes, Carrera 1 N. 18A - 10, Bogotá, Colombia
- MR Author ID: 911761
- ORCID: 0000-0001-8204-803X
- Email: g.mantilla691@uniandes.edu.co
- Received by editor(s): June 18, 2013
- Received by editor(s) in revised form: June 24, 2014, December 1, 2014, and February 18, 2015
- Published electronically: June 2, 2016
- © Copyright 2016 American Mathematical Society
- Journal: Trans. Amer. Math. Soc. 369 (2017), 1611-1626
- MSC (2010): Primary 11E12, 11R04, 11S99
- DOI: https://doi.org/10.1090/tran/6723
- MathSciNet review: 3581214