Marked Artin--Schelter surfaces of del Pezzo types
Fuente:
arXiv
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| Autori principali: | , |
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| Natura: | Preprint |
| Pubblicazione: |
2025
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| _version_ | 1866915433275195392 |
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| author | Okawa, Shinnosuke Ueda, Kazushi |
| author_facet | Okawa, Shinnosuke Ueda, Kazushi |
| contents | We introduce a class of noncommutative surfaces called Artin--Schelter surfaces of del Pezzo types, which contains del Pezzo surfaces as special cases. We show that the moduli stacks of marked Artin--Schelter surfaces of del Pezzo types are birational to the moduli stacks of tuples consisting of a smooth projective curve of genus 1, two line bundles of degree 3, and a collection of line bundles of degree 1 on the curve. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2508_04986 |
| institution | arXiv |
| publishDate | 2025 |
| record_format | arxiv |
| spellingShingle | Marked Artin--Schelter surfaces of del Pezzo types Okawa, Shinnosuke Ueda, Kazushi Algebraic Geometry We introduce a class of noncommutative surfaces called Artin--Schelter surfaces of del Pezzo types, which contains del Pezzo surfaces as special cases. We show that the moduli stacks of marked Artin--Schelter surfaces of del Pezzo types are birational to the moduli stacks of tuples consisting of a smooth projective curve of genus 1, two line bundles of degree 3, and a collection of line bundles of degree 1 on the curve. |
| title | Marked Artin--Schelter surfaces of del Pezzo types |
| topic | Algebraic Geometry |
| url | https://arxiv.org/abs/2508.04986 |