15 citations · 20 across the 7 of their papers we have counts for
9 papers
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…
AS-regular algebras from acyclic spherical helices
Shinnosuke Okawa, Kazushi Ueda
We discuss a construction of AS-regular algebras from acyclic spherical helices, generalizing works of Bondal and Polishchuk [BP93] and Van den Bergh [VdB11].
Moduli of noncommutative Hirzebruch surfaces
Izuru Mori, Shinnosuke Okawa, Kazushi Ueda
We introduce three non-compact moduli stacks parametrizing noncommutative deformations of Hirzebruch surfaces; the first is the moduli stack of locally free sheaf bimodules of rank…
On ruled surfaces with big anti-canonical divisor and numerically trivial divisors on weak log Fano surfaces
Rikito Ohta, Shinnosuke Okawa
We investigate the structure of geometrically ruled surfaces whose anti-canonical class is big. As an application we show that the Picard group of a normal projective surface whose…
An example of birationally inequivalent projective symplectic varieties which are D-equivalent and L-equivalent
Shinnosuke Okawa
We give an example of a pair of projective symplectic varieties in arbitrarily large dimensions which are D-equivalent, L-equivalent, and birationally inequivalent.
The minimal model program for b-log canonical divisors and applications
Daniel Chan, Kenneth Chan, Louis de Thanhoffer de Völcsey +8
We discuss the minimal model program for b-log varieties, which is a pair of a variety and a b-divisor, as a natural generalization of the minimal model program for ordinary log va…