Standard monomials and invariant theory for arc spaces I: general linear group
Fuente:
arXiv
Salvato in:
| Autori principali: | , |
|---|---|
| Natura: | Preprint |
| Pubblicazione: |
2021
|
| Soggetti: | |
| Accesso online: | |
| Tags: |
Aggiungi Tag
Nessun Tag, puoi essere il primo ad aggiungerne!!
|
| _version_ | 1866914984630419456 |
|---|---|
| author | Linshaw, Andrew R. Song, Bailin |
| author_facet | Linshaw, Andrew R. Song, Bailin |
| contents | This is the first in a series of papers on standard monomial theory and invariant theory of arc spaces. For any algebraically closed field $K$, we construct a standard monomial basis for the arc space of the determinantal variety over $K$. As an application, we prove the arc space analogue of the first and second fundamental theorems of invariant theory for the general linear group. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2108_06864 |
| institution | arXiv |
| publishDate | 2021 |
| record_format | arxiv |
| spellingShingle | Standard monomials and invariant theory for arc spaces I: general linear group Linshaw, Andrew R. Song, Bailin Algebraic Geometry Commutative Algebra 13F50, 14M12, 14L24 This is the first in a series of papers on standard monomial theory and invariant theory of arc spaces. For any algebraically closed field $K$, we construct a standard monomial basis for the arc space of the determinantal variety over $K$. As an application, we prove the arc space analogue of the first and second fundamental theorems of invariant theory for the general linear group. |
| title | Standard monomials and invariant theory for arc spaces I: general linear group |
| topic | Algebraic Geometry Commutative Algebra 13F50, 14M12, 14L24 |
| url | https://arxiv.org/abs/2108.06864 |