Marked Artin--Schelter surfaces of del Pezzo types
Algebraic Geometry
2025-08-08 v1
Abstract
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.
Keywords
Cite
@article{arxiv.2508.04986,
title = {Marked Artin--Schelter surfaces of del Pezzo types},
author = {Shinnosuke Okawa and Kazushi Ueda},
journal= {arXiv preprint arXiv:2508.04986},
year = {2025}
}
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9 pages