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Round Forms of Higher Degree

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Abstract

We study forms \({\varphi}\) of higher degree over a field k which are round; i.e., where each element in k which is represented by \({\varphi}\) is a similarity factor of \({\varphi}\) .

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Authors and Affiliations

  1. School of Mathematical Sciences, University of Nottingham, University Park, Nottingham, NG7 2RD, UK

    S. Pumplün

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  1. S. Pumplün
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Correspondence to S. Pumplün.

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Part of this paper was written during the author’s stay at University of Trento during the academic year 2005/2006 which was financed by the “Georg Thieme-Gedächtnisstiftung” (Deutsche Forschungsgemeinschaft). The author thanks the Department of Mathematics at Trento for its hospitality and A. Caranti for his advice.

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Pumplün, S. Round Forms of Higher Degree. Results. Math. 63, 657–674 (2013). https://doi.org/10.1007/s00025-011-0224-8

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  • DOI: https://doi.org/10.1007/s00025-011-0224-8

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