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Indecomposable forms of higher degree

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Abstract

All nondegenerate indecomposable forms of higher degree over a perfect field k can be realized as traces of nondegenerate absolutely indecomposable forms of higher degree over a suitable algebraic field extension of k. With the help of trace forms of certain nonassociative algebras we construct classes of indecomposable forms of degree d≥3.

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  1. School of Mathematics, University of Nottingham, University Park, Nottingham, NG7 2RD, United Kingdom

    S. Pumplün

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  1. S. Pumplün
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Pumplün, S. Indecomposable forms of higher degree. Math. Z. 253, 347–360 (2006). https://doi.org/10.1007/s00209-005-0907-5

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  • DOI: https://doi.org/10.1007/s00209-005-0907-5

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