Saved in:
| Main Author: | |
|---|---|
| Format: | Preprint |
| Published: |
2026
|
| Subjects: | |
| Online Access: | https://arxiv.org/abs/2601.09418 |
| Tags: |
Add Tag
No Tags, Be the first to tag this record!
|
| _version_ | 1866908765029138432 |
|---|---|
| author | Groutides, Alexandros |
| author_facet | Groutides, Alexandros |
| contents | Let $A$ be the algebra $\mathbb{C}[X_1^{\pm 1},X_2^{\pm 1}]$ and $Q(A)$ its quotient field. In this short article, we exhibit the correct normalization for the toric period on the parabolically induced unramified family over $Q(A)$, so that it behaves optimally under restriction to the parabolically induced unramified family over $A$. This answers a question raised by D. Prasad, and points towards potential generalizations to a broader unramified Gan-Gross-Prasad setting. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2601_09418 |
| institution | arXiv |
| publishDate | 2026 |
| record_format | arxiv |
| spellingShingle | A note on toric periods in unramified families Groutides, Alexandros Number Theory Representation Theory Let $A$ be the algebra $\mathbb{C}[X_1^{\pm 1},X_2^{\pm 1}]$ and $Q(A)$ its quotient field. In this short article, we exhibit the correct normalization for the toric period on the parabolically induced unramified family over $Q(A)$, so that it behaves optimally under restriction to the parabolically induced unramified family over $A$. This answers a question raised by D. Prasad, and points towards potential generalizations to a broader unramified Gan-Gross-Prasad setting. |
| title | A note on toric periods in unramified families |
| topic | Number Theory Representation Theory |
| url | https://arxiv.org/abs/2601.09418 |