10 citations · 10 across the 7 of their papers we have counts for
9 papers
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…
The McKay correspondence in type via VGIT
Tarig Abdelgadir, Ed Segal
We present an explicit GIT construction which produces both the minimal resolution of the type surface singularity, and also the orbifold resolution. Our construction is base…
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…
The Tutte polynomial and toric Nakajima quiver varieties
Tarig Abdelgadir, Anton Mellit, Fernando Rodriguez-Villegas
For a quiver , we take an associated toric Nakajima quiver variety and the underlying graph. In this article, we give a direct relation between a specialisatio…
Tensor stable moduli stacks and refined representations of quivers
Tarig Abdelgadir, Daniel Chan
In this paper, we look at the problem of modular realisations of derived equivalences, and more generally, the problem of recovering a Deligne-Mumford stack and a bund…
Compact moduli of noncommutative projective planes
Tarig Abdelgadir, Shinnosuke Okawa, Kazushi Ueda
We introduce the notion of the moduli stack of relations of a quiver. When the quiver with relations is derived-equivalent to an algebraic variety, the corresponding compact moduli…
Weighted projective lines as fine moduli spaces of quiver representations
Tarig Abdelgadir, Kazushi Ueda
We describe weighted projective lines in the sense of Geigle and Lenzing by a moduli problem on the canonical algebra of Ringel. We then go on to study generators of the derived ca…
Quivers of sections on toric orbifolds
Tarig M. H. Abdelgadir
Starting from a collection of line bundles on a projective toric orbifold X, we introduce a stacky analogue of the classical linear series. Our first main result extends work of Ki…