$\mathbb T$-homogeneous locally nilpotent derivations of trinomial algebras
Fuente:
arXiv
Saved in:
| Main Authors: | , |
|---|---|
| Format: | Preprint |
| Published: |
2026
|
| Subjects: | |
| Online Access: | |
| Tags: |
Add Tag
No Tags, Be the first to tag this record!
|
| _version_ | 1866910235819507712 |
|---|---|
| author | Krasikov, Timofey Rassolov, Kirill |
| author_facet | Krasikov, Timofey Rassolov, Kirill |
| contents | A trinomial algebra is a commutative finitely generated algebra given by a system of compatible relations each of which is a polynomial with three terms. Such algebras arise as the Cox rings of varieties admitting a complexity one torus action. We describe locally nilpotent derivations of a trinomial algebra that are homogeneous under a natural torus action of complexity one. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2605_17670 |
| institution | arXiv |
| publishDate | 2026 |
| record_format | arxiv |
| spellingShingle | $\mathbb T$-homogeneous locally nilpotent derivations of trinomial algebras Krasikov, Timofey Rassolov, Kirill Algebraic Geometry Commutative Algebra Primary 13A50, 14R20, Secondary 14J50, 14L30, 14M25 A trinomial algebra is a commutative finitely generated algebra given by a system of compatible relations each of which is a polynomial with three terms. Such algebras arise as the Cox rings of varieties admitting a complexity one torus action. We describe locally nilpotent derivations of a trinomial algebra that are homogeneous under a natural torus action of complexity one. |
| title | $\mathbb T$-homogeneous locally nilpotent derivations of trinomial algebras |
| topic | Algebraic Geometry Commutative Algebra Primary 13A50, 14R20, Secondary 14J50, 14L30, 14M25 |
| url | https://arxiv.org/abs/2605.17670 |