Kota YOSHIOKA |
Kota YOSHIOKA
Department of Mathematics,
Graduate School of Science, Kobe University |
Division : Algebra
Professor |
Building B, Room 326
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| Research Field :
Vector bundles on algebraic varieties
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| 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.
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| 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), 193--220.
- K. Yoshioka: Some examples of Mukai's reflections on $K3$ surfaces, J. Reine Angew. Math. 515 (1999), 97--123.
- H. Nakajima and K. Yoshioka: Instanton counting on blowup. I. 4-dimensional pure gauge theory, Invent. Math. 162 (2005), 313--355.
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