17 citations · 105 across the 28 of their papers we have counts for
3 papers · 1 filter
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…