10 citations · 23 across the 5 of their papers we have counts for
5 papers · 1 filter
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…
Exceptional sheaves on the Hirzebruch surface
Shinnosuke Okawa, Hokuto Uehara
We investigate exceptional sheaves on the Hirzebruch surface , as the first attempt toward the classification of exceptional objects on weak del Pezzo surfaces.
Noncommutative quadric surfaces and noncommutative conifolds
Shinnosuke Okawa, Kazushi Ueda
We introduce a compact moduli of noncommutative quadrics, and show that it is the weighted projective space of weight (2,4,4,6). We also introduce a compact moduli of potentials fo…
Mori dream spaces of Calabi-Yau type and the log canonicity of the Cox rings
Yujiro Kawamata, Shinnosuke Okawa
We prove that a Mori dream space over a field of characteristic zero is of Calabi-Yau type if and only if its Cox ring has at worst log canonical singularities. By slightly modifyi…
Extensions of two Chow stability criteria to positive characteristics
Shinnosuke Okawa
We extend two results on Chow (semi-)stability to positive characteristics. One is on the stability of non-singular projective hypersurfaces of degree greater than 2, and the other…