Logarithmic Quasimaps
Fuente:
arXiv
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| Autore principale: | |
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| Natura: | Preprint |
| Pubblicazione: |
2023
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| Soggetti: | |
| Accesso online: | |
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| _version_ | 1866929207233216512 |
|---|---|
| author | Shafi, Qaasim |
| author_facet | Shafi, Qaasim |
| contents | We construct a proper moduli space which is a Deligne-Mumford stack parametrising quasimaps relative to a simple normal crossings divisor in any genus using logarithmic geometry. We show this moduli space admits a virtual fundamental class of the expected dimension leading to numerical invariants which agree with the theory of Battistella-Nabijou where the latter is defined. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2301_01196 |
| institution | arXiv |
| publishDate | 2023 |
| record_format | arxiv |
| spellingShingle | Logarithmic Quasimaps Shafi, Qaasim Algebraic Geometry We construct a proper moduli space which is a Deligne-Mumford stack parametrising quasimaps relative to a simple normal crossings divisor in any genus using logarithmic geometry. We show this moduli space admits a virtual fundamental class of the expected dimension leading to numerical invariants which agree with the theory of Battistella-Nabijou where the latter is defined. |
| title | Logarithmic Quasimaps |
| topic | Algebraic Geometry |
| url | https://arxiv.org/abs/2301.01196 |