The set of forms with bounded strength is not closed

نویسندگان

چکیده

The strength of a homogeneous polynomial (or form) is the smallest length an additive decomposition expressing it whose summands are reducible forms. Using functors, we show that set forms with bounded not always Zariski-closed. More specifically, if ground field algebraically closed, prove quartics ≤3 Zariski-closed for large number variables.

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ژورنال

عنوان ژورنال: Comptes Rendus Mathematique

سال: 2022

ISSN: ['1631-073X', '1778-3569']

DOI: https://doi.org/10.5802/crmath.302