15 citations · 20 across the 8 of their papers we have counts for
14 papers · 1 filter
Deformation theory for a morphism in the derived category with fixed lift of the codomain
Pieter Belmans, Wendy Lowen, Shinnosuke Okawa +1
We develop the deformation-obstruction calculus for morphisms of complexes with a fixed lift of the codomain, to derived categories of flat nilpotent deformations of abelian catego…
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…
Compact moduli of marked noncommutative cubic surfaces
Tarig Abdelgadir, Shinnosuke Okawa, Kazushi Ueda
We introduce a compact moduli scheme of marked noncommutative cubic surfaces as the GIT moduli scheme of relations of a quiver associated with a full strong exceptional collection…
A compact moduli of orbifold projective curves
Tarig Abdelgadir, Daniel Chan, Shinnosuke Okawa +1
We introduce the notion of stable orbifold projective curves, and show that the moduli stack of stable orbifold projective curves is isomorphic to the moduli stack of weighted poin…
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…
Exceptional collections on
Akira Ishii, Shinnosuke Okawa, Hokuto Uehara
Structure theorems for exceptional objects and exceptional collections of the bounded derived category of coherent sheaves on del Pezzo surfaces are established by Kuleshov and Orl…