Over rings of integers in number fields, finite flat linearly reductive subgroups of SL2 are exactly fppf local forms of μ_n, with finitely many GL2-conjugacy classes and controlled quotient singularities.
On Noether's Degree Bound for Finite Group Schemes
1 Pith paper cite this work. Polarity classification is still indexing.
1
Pith paper citing it
abstract
This paper establishes Noether's classical degree bound $\beta(G) \le |G|$ for finite and linearly reductive group schemes. On the other hand, we provide examples of infinitesimal group schemes where $\beta(G)$ is unbounded. We also generalize Molien's formula to finite and linearly reductive group schemes.
fields
math.AG 1years
2025 1verdicts
CONDITIONAL 1representative citing papers
citing papers explorer
-
An arithmetic analog of Klein's classification of finite subgroups of $\mathrm{SL}_2(\mathbb{C})$
Over rings of integers in number fields, finite flat linearly reductive subgroups of SL2 are exactly fppf local forms of μ_n, with finitely many GL2-conjugacy classes and controlled quotient singularities.