Constructing smoothings of stable maps
Fuente:
arXiv
Saved in:
| Main Authors: | , |
|---|---|
| Format: | Preprint |
| Published: |
2023
|
| Subjects: | |
| Online Access: | |
| Tags: |
Add Tag
No Tags, Be the first to tag this record!
|
| _version_ | 1866910839494148096 |
|---|---|
| author | Rezaee, Fatemeh Swaminathan, Mohan |
| author_facet | Rezaee, Fatemeh Swaminathan, Mohan |
| contents | Let $X$ be a smooth projective variety. Define a stable map $f:C\to X$ to be "eventually smoothable" if there is an embedding $X\hookrightarrow\mathbb{P}^N$ such that $(C,f)$ occurs as the limit of a $1$-parameter family of stable maps to $\mathbb{P}^N$ with smooth domain curves. Via an explicit deformation-theoretic construction, we produce a large class of stable maps (called "stable maps with model ghosts"), and show that they are eventually smoothable. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2309_12936 |
| institution | arXiv |
| publishDate | 2023 |
| record_format | arxiv |
| spellingShingle | Constructing smoothings of stable maps Rezaee, Fatemeh Swaminathan, Mohan Algebraic Geometry Symplectic Geometry 14N35 (Primary) 53D45 (Secondary) Let $X$ be a smooth projective variety. Define a stable map $f:C\to X$ to be "eventually smoothable" if there is an embedding $X\hookrightarrow\mathbb{P}^N$ such that $(C,f)$ occurs as the limit of a $1$-parameter family of stable maps to $\mathbb{P}^N$ with smooth domain curves. Via an explicit deformation-theoretic construction, we produce a large class of stable maps (called "stable maps with model ghosts"), and show that they are eventually smoothable. |
| title | Constructing smoothings of stable maps |
| topic | Algebraic Geometry Symplectic Geometry 14N35 (Primary) 53D45 (Secondary) |
| url | https://arxiv.org/abs/2309.12936 |