On rank in algebraic closure
| Autor: | Lampert, Amichai, Ziegler, Tamar |
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| Rok vydání: | 2022 |
| Předmět: | |
| Zdroj: | Sel. Math. New Ser. 30, 15 (2024) |
| Druh dokumentu: | Working Paper |
| DOI: | 10.1007/s00029-023-00903-5 |
| Popis: | Let $ {\mathbf k} $ be a field and $Q\in {\mathbf k}[x_1, \ldots, x_s]$ a form (homogeneous polynomial) of degree $d>1.$ The ${\mathbf k}$-Schmidt rank $rk_{\mathbf k}(Q)$ of $Q$ is the minimal $r$ such that $Q= \sum_{i=1}^r R_iS_i$ with $R_i, S_i \in {\mathbf k}[x_1, \ldots, x_s]$ forms of degree $ Comment: Published version, simplified proofs and corrected errors |
| Databáze: | arXiv |
| Externí odkaz: |
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