Continuous Linear Series
Fuente:
arXiv
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| Autori principali: | , , |
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| Natura: | Preprint |
| Pubblicazione: |
2025
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| _version_ | 1866918159645147136 |
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| author | Esteves, Eduardo Nigro, Antonio Rizzo, Pedro |
| author_facet | Esteves, Eduardo Nigro, Antonio Rizzo, Pedro |
| contents | We parameterize by a fine moduli space all degenerations of linear series to a singular curve which is the union of two smooth components meeting transversally at a single point. For this we introduce a novel object in the study of degenerations of linear series, which is the continuous linear series. Our moduli space can be regarded as a Hilbert quotient, in the terminology introduced by Kapranov, and is a new compactification of Osserman moduli space of exact limit linear series, and consequently, of Eisenbud and Harris moduli space of refined limit linear series on the curve. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2510_11623 |
| institution | arXiv |
| publishDate | 2025 |
| record_format | arxiv |
| spellingShingle | Continuous Linear Series Esteves, Eduardo Nigro, Antonio Rizzo, Pedro Algebraic Geometry 14H10, 14C05, 14D22 We parameterize by a fine moduli space all degenerations of linear series to a singular curve which is the union of two smooth components meeting transversally at a single point. For this we introduce a novel object in the study of degenerations of linear series, which is the continuous linear series. Our moduli space can be regarded as a Hilbert quotient, in the terminology introduced by Kapranov, and is a new compactification of Osserman moduli space of exact limit linear series, and consequently, of Eisenbud and Harris moduli space of refined limit linear series on the curve. |
| title | Continuous Linear Series |
| topic | Algebraic Geometry 14H10, 14C05, 14D22 |
| url | https://arxiv.org/abs/2510.11623 |