Standard monomials and invariant theory for arc spaces III: special linear group
Fuente:
arXiv
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| Natura: | Preprint |
| Pubblicazione: |
2021
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| _version_ | 1866915016659173376 |
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| author | Linshaw, Andrew R. Song, Bailin |
| author_facet | Linshaw, Andrew R. Song, Bailin |
| contents | This is the third in a series of papers on standard monomial theory and invariant theory of arc spaces. For any algebraically closed field $K$, we prove the arc space analogue of the first and second fundamental theorems of invariant theory for the special linear group. This is more subtle than the results for the general linear and symplectic groups obtained in the first two papers because the arc space of the corresponding affine quotients can be nonreduced. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2108_08991 |
| institution | arXiv |
| publishDate | 2021 |
| record_format | arxiv |
| spellingShingle | Standard monomials and invariant theory for arc spaces III: special linear group Linshaw, Andrew R. Song, Bailin Algebraic Geometry 13F50, 14L24 This is the third in a series of papers on standard monomial theory and invariant theory of arc spaces. For any algebraically closed field $K$, we prove the arc space analogue of the first and second fundamental theorems of invariant theory for the special linear group. This is more subtle than the results for the general linear and symplectic groups obtained in the first two papers because the arc space of the corresponding affine quotients can be nonreduced. |
| title | Standard monomials and invariant theory for arc spaces III: special linear group |
| topic | Algebraic Geometry 13F50, 14L24 |
| url | https://arxiv.org/abs/2108.08991 |