Congruence modules and Wiles defects of determinantal rings of maximal minors
Fuente:
arXiv
Salvato in:
| Autori principali: | , |
|---|---|
| Natura: | Preprint |
| Pubblicazione: |
2026
|
| Soggetti: | |
| Accesso online: | |
| Tags: |
Aggiungi Tag
Nessun Tag, puoi essere il primo ad aggiungerne!!
|
| _version_ | 1866917389566738432 |
|---|---|
| author | Khan, Kashif Maithani, Aryaman |
| author_facet | Khan, Kashif Maithani, Aryaman |
| contents | Let $O$ be a discrete valuation ring and $A := O[X_{m \times n}]/I_{m}(X)$ the determinantal ring of maximal minors. We consider algebra maps $λ\colon A \to O$, which is tantamount to choosing rank-deficient matrices $a \in O^{m \times n}$. Following Iyengar--Khare--Manning, we compute the congruence module and the Wiles defect of $A$ at $λ$, expressing them in terms of the $(m - 1)$-sized minors of $a$. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2604_06446 |
| institution | arXiv |
| publishDate | 2026 |
| record_format | arxiv |
| spellingShingle | Congruence modules and Wiles defects of determinantal rings of maximal minors Khan, Kashif Maithani, Aryaman Commutative Algebra Number Theory 13C40 Let $O$ be a discrete valuation ring and $A := O[X_{m \times n}]/I_{m}(X)$ the determinantal ring of maximal minors. We consider algebra maps $λ\colon A \to O$, which is tantamount to choosing rank-deficient matrices $a \in O^{m \times n}$. Following Iyengar--Khare--Manning, we compute the congruence module and the Wiles defect of $A$ at $λ$, expressing them in terms of the $(m - 1)$-sized minors of $a$. |
| title | Congruence modules and Wiles defects of determinantal rings of maximal minors |
| topic | Commutative Algebra Number Theory 13C40 |
| url | https://arxiv.org/abs/2604.06446 |