Matrix factorization and the generic plane projection of curve a singularity
Fuente:
arXiv
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| Autor principal: | |
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| Formato: | Preprint |
| Publicado: |
2025
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| _version_ | 1866929693101391872 |
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| author | Elias, Joan |
| author_facet | Elias, Joan |
| contents | We study the matrix factorizations defined by the generic plane projections of a curve singularity of $\mathbb{C}^3$. On the other hand, given a plane curve singularity $Y\subset \mathbb{C}^2$ we study the family of matrix factorizations defined by the space curve singularities $X\subset \mathbb{C}^3$ such that $Y$ is the generic plane projection of $X$. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2501_18926 |
| institution | arXiv |
| publishDate | 2025 |
| record_format | arxiv |
| spellingShingle | Matrix factorization and the generic plane projection of curve a singularity Elias, Joan Algebraic Geometry Commutative Algebra We study the matrix factorizations defined by the generic plane projections of a curve singularity of $\mathbb{C}^3$. On the other hand, given a plane curve singularity $Y\subset \mathbb{C}^2$ we study the family of matrix factorizations defined by the space curve singularities $X\subset \mathbb{C}^3$ such that $Y$ is the generic plane projection of $X$. |
| title | Matrix factorization and the generic plane projection of curve a singularity |
| topic | Algebraic Geometry Commutative Algebra |
| url | https://arxiv.org/abs/2501.18926 |