The Geometric Syzygy Conjecture in Positive Characteristic
Fuente:
arXiv
Salvato in:
| Autori principali: | , |
|---|---|
| Natura: | Preprint |
| Pubblicazione: |
2025
|
| Soggetti: | |
| Accesso online: | |
| Tags: |
Aggiungi Tag
Nessun Tag, puoi essere il primo ad aggiungerne!!
|
| _version_ | 1866911131938848768 |
|---|---|
| author | Kemeny, Michael Wei, Peter Yi |
| author_facet | Kemeny, Michael Wei, Peter Yi |
| contents | We show the geometric syzygy conjecture in positive characteristic. Specifically, if C is a general smooth curve of genus g defined over an algebraically closed field of characteristic p, then all linear syzygy spaces are spanned by syzygies of minimal rank provided p is at least 2g-4. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2509_00844 |
| institution | arXiv |
| publishDate | 2025 |
| record_format | arxiv |
| spellingShingle | The Geometric Syzygy Conjecture in Positive Characteristic Kemeny, Michael Wei, Peter Yi Algebraic Geometry Commutative Algebra We show the geometric syzygy conjecture in positive characteristic. Specifically, if C is a general smooth curve of genus g defined over an algebraically closed field of characteristic p, then all linear syzygy spaces are spanned by syzygies of minimal rank provided p is at least 2g-4. |
| title | The Geometric Syzygy Conjecture in Positive Characteristic |
| topic | Algebraic Geometry Commutative Algebra |
| url | https://arxiv.org/abs/2509.00844 |