Projection Cascades of models of log del Pezzo surfaces
Fuente:
arXiv
Saved in:
| Main Author: | |
|---|---|
| Format: | Preprint |
| Published: |
2025
|
| Subjects: | |
| Online Access: | |
| Tags: |
Add Tag
No Tags, Be the first to tag this record!
|
| _version_ | 1866909659773796352 |
|---|---|
| author | Qureshi, Muhammad Imran |
| author_facet | Qureshi, Muhammad Imran |
| contents | We introduce the notion of type-I projection cascade for a biregular model (infinite series) of log del Pezzo surfaces. We study the existence of type-I projection cascades for known classes of models of log del Pezzo surfaces, such that their images under their anti-canonical embeddings in some weighted projective space, can be described as codimension 4 and codimension 3 varieties. We obtain two cascades of length three and four cascades of length two, where each projection gives rise to a well-formed and quasismooth biregular model in lower codimension. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2506_19970 |
| institution | arXiv |
| publishDate | 2025 |
| record_format | arxiv |
| spellingShingle | Projection Cascades of models of log del Pezzo surfaces Qureshi, Muhammad Imran Algebraic Geometry 14Q10, 14J10 We introduce the notion of type-I projection cascade for a biregular model (infinite series) of log del Pezzo surfaces. We study the existence of type-I projection cascades for known classes of models of log del Pezzo surfaces, such that their images under their anti-canonical embeddings in some weighted projective space, can be described as codimension 4 and codimension 3 varieties. We obtain two cascades of length three and four cascades of length two, where each projection gives rise to a well-formed and quasismooth biregular model in lower codimension. |
| title | Projection Cascades of models of log del Pezzo surfaces |
| topic | Algebraic Geometry 14Q10, 14J10 |
| url | https://arxiv.org/abs/2506.19970 |