The strong maximal rank conjecture and moduli spaces of curves
Fuente:
arXiv
Gespeichert in:
| Hauptverfasser: | , , , |
|---|---|
| Format: | Preprint |
| Veröffentlicht: |
2018
|
| Schlagworte: | |
| Online-Zugang: | |
| Tags: |
Tag hinzufügen
Keine Tags, Fügen Sie den ersten Tag hinzu!
|
| _version_ | 1866929501649240064 |
|---|---|
| author | Liu, Fu Osserman, Brian Bigas, Montserrat Teixidor i Zhang, Naizhen |
| author_facet | Liu, Fu Osserman, Brian Bigas, Montserrat Teixidor i Zhang, Naizhen |
| contents | Building on recent work of the authors, we use degenerations to chains of elliptic curves to prove two cases of the Aprodu-Farkas strong maximal rank conjecture, in genus $22$ and $23$. This constitutes a major step forward in Farkas' program to prove that the moduli spaces of curves of genus $22$ and $23$ are of general type. Our techniques involve a combination of the Eisenbud-Harris theory of limit linear series, and the notion of linked linear series developed by the second author. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_1808_01290 |
| institution | arXiv |
| publishDate | 2018 |
| record_format | arxiv |
| spellingShingle | The strong maximal rank conjecture and moduli spaces of curves Liu, Fu Osserman, Brian Bigas, Montserrat Teixidor i Zhang, Naizhen Algebraic Geometry 14H10, 14H51, 14D06 Building on recent work of the authors, we use degenerations to chains of elliptic curves to prove two cases of the Aprodu-Farkas strong maximal rank conjecture, in genus $22$ and $23$. This constitutes a major step forward in Farkas' program to prove that the moduli spaces of curves of genus $22$ and $23$ are of general type. Our techniques involve a combination of the Eisenbud-Harris theory of limit linear series, and the notion of linked linear series developed by the second author. |
| title | The strong maximal rank conjecture and moduli spaces of curves |
| topic | Algebraic Geometry 14H10, 14H51, 14D06 |
| url | https://arxiv.org/abs/1808.01290 |