Standard monomials and invariant theory for arc spaces III: special linear group
| Autor: | Linshaw, Andrew R., Song, Bailin |
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| Rok vydání: | 2021 |
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| Zdroj: | Journal of Algebra, Volume 664, (2025), Pages 289-327 |
| Druh dokumentu: | Working Paper |
| Popis: | 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. Comment: Some corrections and improvements to the presentation. arXiv admin note: text overlap with arXiv:2108.06864 |
| Databáze: | arXiv |
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