Standard monomials and invariant theory of arc spaces II: Symplectic group

Fuente: arXiv
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Autori principali: Linshaw, Andrew R., Song, Bailin
Natura: Preprint
Pubblicazione: 2021
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author Linshaw, Andrew R.
Song, Bailin
author_facet Linshaw, Andrew R.
Song, Bailin
contents This is the second 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 Pfaffian variety over $K$. As an application, we prove the arc space analogue of the first and second fundamental theorems of invariant theory for the symplectic group.
format Preprint
id arxiv_https___arxiv_org_abs_2108_08989
institution arXiv
publishDate 2021
record_format arxiv
spellingShingle Standard monomials and invariant theory of arc spaces II: Symplectic group
Linshaw, Andrew R.
Song, Bailin
Algebraic Geometry
13F50, 14L24
This is the second 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 Pfaffian variety over $K$. As an application, we prove the arc space analogue of the first and second fundamental theorems of invariant theory for the symplectic group.
title Standard monomials and invariant theory of arc spaces II: Symplectic group
topic Algebraic Geometry
13F50, 14L24
url https://arxiv.org/abs/2108.08989