Nonnegativity certificates on real algebraic surfaces
Fuente:
arXiv
Gespeichert in:
| Hauptverfasser: | , , , |
|---|---|
| Format: | Preprint |
| Veröffentlicht: |
2024
|
| Schlagworte: | |
| Online-Zugang: | |
| Tags: |
Tag hinzufügen
Keine Tags, Fügen Sie den ersten Tag hinzu!
|
| _version_ | 1866929499581448192 |
|---|---|
| author | Blekherman, Grigoriy Sinn, Rainer Smith, Gregory G. Velasco, Mauricio |
| author_facet | Blekherman, Grigoriy Sinn, Rainer Smith, Gregory G. Velasco, Mauricio |
| contents | We introduce tools for transferring nonnegativity certificates for global sections between line bundles on real algebraic surfaces. As applications, we improve Hilbert's degree bounds on sum-of-squares multipliers for nonnegative ternary forms, give a complete characterization of nonnegative real forms of del Pezzo surfaces, and establish quadratic upper bounds for the degrees of sum-of-squares multipliers for nonnegative forms on real ruled surfaces. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2409_08834 |
| institution | arXiv |
| publishDate | 2024 |
| record_format | arxiv |
| spellingShingle | Nonnegativity certificates on real algebraic surfaces Blekherman, Grigoriy Sinn, Rainer Smith, Gregory G. Velasco, Mauricio Algebraic Geometry 14J26, 14P05, 12D15 We introduce tools for transferring nonnegativity certificates for global sections between line bundles on real algebraic surfaces. As applications, we improve Hilbert's degree bounds on sum-of-squares multipliers for nonnegative ternary forms, give a complete characterization of nonnegative real forms of del Pezzo surfaces, and establish quadratic upper bounds for the degrees of sum-of-squares multipliers for nonnegative forms on real ruled surfaces. |
| title | Nonnegativity certificates on real algebraic surfaces |
| topic | Algebraic Geometry 14J26, 14P05, 12D15 |
| url | https://arxiv.org/abs/2409.08834 |