Kota YOSHIOKA 
Kota YOSHIOKA
Department of Mathematics,
Graduate School of Science, Kobe University 
Division : Algebra
Professor 
Building B, Room 326

Research Field :
Vector bundles on algebraic varieties


Research Summary :
I study moduli of stable sheaves on algebraic surfaces.
In particular, I computed topological invariants of moduli spaces
such as Euler characteristic.
I also have works on Donaldson invariants of algebraic surfaces.


Primary Publications : 
 K. Yoshioka: The Betti numbers of the moduli space of stable sheaves of rank $2$ on $P^2$, J. Reine Angew. Math., 453 (1994), 193220.
 K. Yoshioka: Some examples of Mukai's reflections on $K3$ surfaces, J. Reine Angew. Math. 515 (1999), 97123.
 H. Nakajima and K. Yoshioka: Instanton counting on blowup. I. 4dimensional pure gauge theory, Invent. Math. 162 (2005), 313355.


