This article is cited in 6 papers

Birational geometry of moduli varieties of vector bundles over $\mathbf P^2$

P. I. Katsylo


Abstract: The fields of rational functions on the moduli varieties of stable (symplectic) vector bundles over the projective plane are described. As a consequence the rationality of some series of moduli varieties is proved.

UDC: 516.5

MSC: Primary 14D22, 14M20, 12F20, 15A72, 14D25; Secondary 14F05, 20G05, 11E76

Received: 31.05.1989

 English version: Mathematics of the USSR-Izvestiya, 1992, 38:2, 419–428

Bibliographic databases:

• 
• 
• 
•