The ring of differential operators on a monomial curve is a Hopf algebroid
Fuente:
arXiv
Enregistré dans:
| Auteurs principaux: | , |
|---|---|
| Format: | Preprint |
| Publié: |
2024
|
| Sujets: | |
| Accès en ligne: | |
| Tags: |
Ajouter un tag
Pas de tags, Soyez le premier à ajouter un tag!
|
| _version_ | 1866914985120104448 |
|---|---|
| author | Krähmer, Ulrich Mahaman, Myriam |
| author_facet | Krähmer, Ulrich Mahaman, Myriam |
| contents | This article considers cuspidal curves whose coordinate rings are numerical semigroup algebras. Using a general result about descent of Hopf algebroid structures, their rings of differential operators are shown to be cocommutative and conilpotent left Hopf algebroids. If the semigroups are symmetric so that the curves are Gorenstein, they are full Hopf algebroids (admit an antipode). |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2405_08490 |
| institution | arXiv |
| publishDate | 2024 |
| record_format | arxiv |
| spellingShingle | The ring of differential operators on a monomial curve is a Hopf algebroid Krähmer, Ulrich Mahaman, Myriam Quantum Algebra Commutative Algebra Rings and Algebras 16S32, 16T15, 20M14 This article considers cuspidal curves whose coordinate rings are numerical semigroup algebras. Using a general result about descent of Hopf algebroid structures, their rings of differential operators are shown to be cocommutative and conilpotent left Hopf algebroids. If the semigroups are symmetric so that the curves are Gorenstein, they are full Hopf algebroids (admit an antipode). |
| title | The ring of differential operators on a monomial curve is a Hopf algebroid |
| topic | Quantum Algebra Commutative Algebra Rings and Algebras 16S32, 16T15, 20M14 |
| url | https://arxiv.org/abs/2405.08490 |