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math.AG2025
Marked Artin--Schelter surfaces of del Pezzo types
Shinnosuke Okawa, Kazushi Ueda
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 stac…
math.AG2025
Degenerations of orbifold curves as noncommutative varieties
Tarig Abdelgadir, Daniel Chan, Shinnosuke Okawa +1
Boundary points on the moduli space of pointed curves corresponding to collisions of marked points have modular interpretations as degenerate curves. In this paper, we study degene…
math.AG2024
Rabinowitz Fukaya categories as cluster categories
Yanki Lekili, Kazushi Ueda
We discuss homological mirror symmetry for Rabinowitz Fukaya categories of Milnor fibers of double suspensions of invertible polynomials, and prove it for Brieskorn--Pham polynomia…