On generalized Weierstrass semigroups in linearized function fields
Fuente:
arXiv
Saved in:
| Main Author: | |
|---|---|
| Format: | Preprint |
| Published: |
2026
|
| Subjects: | |
| Online Access: | |
| Tags: |
Add Tag
No Tags, Be the first to tag this record!
|
| _version_ | 1866916072018411520 |
|---|---|
| author | Mendoza, Erik |
| author_facet | Mendoza, Erik |
| contents | In this article, using the notion of discrepancies, we study the generalized Weierstrass semigroup $\widehat{H}(\mathbf{Q})$, where $\mathbf{Q}$ is an $n$-tuple of distinct totally ramified places of degree one in a linearized function field. As a consequence, we characterize and explicitly determine the sets of absolute maximal elements $\widehatΓ(\mathbf{Q})$ and relative maximal elements $\widehatΛ(\mathbf{Q})$, generalizing the existing results in the literature. Finally, we apply our results to some classes of algebraic curves. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2606_01369 |
| institution | arXiv |
| publishDate | 2026 |
| record_format | arxiv |
| spellingShingle | On generalized Weierstrass semigroups in linearized function fields Mendoza, Erik Algebraic Geometry 14H55, 11G20 In this article, using the notion of discrepancies, we study the generalized Weierstrass semigroup $\widehat{H}(\mathbf{Q})$, where $\mathbf{Q}$ is an $n$-tuple of distinct totally ramified places of degree one in a linearized function field. As a consequence, we characterize and explicitly determine the sets of absolute maximal elements $\widehatΓ(\mathbf{Q})$ and relative maximal elements $\widehatΛ(\mathbf{Q})$, generalizing the existing results in the literature. Finally, we apply our results to some classes of algebraic curves. |
| title | On generalized Weierstrass semigroups in linearized function fields |
| topic | Algebraic Geometry 14H55, 11G20 |
| url | https://arxiv.org/abs/2606.01369 |