Syzygies and Koszul modules in geometry
Fuente:
arXiv
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| Formato: | Preprint |
| Publicado: |
2026
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| _version_ | 1866914361151324160 |
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| author | Farkas, Gavril |
| author_facet | Farkas, Gavril |
| contents | We describe the progress in the last 10 years related to Koszul modules and syzygies of algebraic varieties. Topics discussed include the general theory of Koszul modules and resonance varieties, applications to Chen ranks of Kähler and hyperplane arrangement groups (Suciu's Conjecture) and connections related to syzygies of algebraic curves. Developments related to Green's Conjecture, the Secant Conjecture and the Gonality Conjecture on the resolution of line bundles on algebraic curves are also presented. Open question are proposed throughout the text. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2602_22493 |
| institution | arXiv |
| publishDate | 2026 |
| record_format | arxiv |
| spellingShingle | Syzygies and Koszul modules in geometry Farkas, Gavril Algebraic Geometry Geometric Topology We describe the progress in the last 10 years related to Koszul modules and syzygies of algebraic varieties. Topics discussed include the general theory of Koszul modules and resonance varieties, applications to Chen ranks of Kähler and hyperplane arrangement groups (Suciu's Conjecture) and connections related to syzygies of algebraic curves. Developments related to Green's Conjecture, the Secant Conjecture and the Gonality Conjecture on the resolution of line bundles on algebraic curves are also presented. Open question are proposed throughout the text. |
| title | Syzygies and Koszul modules in geometry |
| topic | Algebraic Geometry Geometric Topology |
| url | https://arxiv.org/abs/2602.22493 |