Ryo OHKAWA

Ryo OHKAWA

Department of Mathematics,
Graduate School of Science, Kobe University
Division : Algebra
Assistant Professor
Building B, Room 424


Research Field : Moduli space of vector bundles on algebraic surfaces

Research Summary : I study moduli space of vector bundles on algebraic surfaces, especially the projective plane. Recently, I am investigating the functional equation of the Nekrasov function using wall-crossing formula by Takuro Mochizuki.

Primary Publications :
  1. N. Hara and R. Ohkawa, The FFRT property of two-dimensional normal graded rings and orbifold curves, Adv. Math. 370 (2020), 107215, 37pp.
  2. R. Ohkawa, Functional Equations of Nekrasov Functions Proposed by Ito, Maruyoshi, and Okuda, Moscow Math. J. 20 (2020), no. 3, 531--573.
  3. R. Ohkawa, Wall-crossing between stable and co-stable ADHM data, Lett. Math. Phys. 108 (2018), no. 6, 1485--1523.
  4. R. Ohkawa, Flips of moduli of stable torsion free sheaves with $c_1=1$ on $\PP^2$, Bull. Soc. Math. France 142 (2014), no. 3, 349--378.
  5. R. Ohkawa and H. Uehara, Frobenius morphisms and derived categories on two dimensional toric Deligne--Mumford stacks, Adv. Math. 244 (2013), 241--267.
  6. R. Ohkawa, Moduli of Bridgeland semistable objects on $\PP^2$, Kodai Math. J. 33 (2010), no. 2, 329--366.