moduli050518.dvi

MATHEMATICAL August 2005 SCIENCES Number 506 — 1. , 3 2005 3 1 35 10 26 10 D 2. 17 Penrose 20 NO. 506, AUGUST 2005 5 ( ) 6 Polyakov (2002 4 ) 3. ( ) P Q P Q ( ) ∗1 , 4 *1 ( ) 6 = (1 1 ) K3 2 4 2 x4 +y4 +z4 = 1 (x,y, z) ( ) K3 ( ) K3 2 K3 K3 1970 1986 Donaldson Friedman Morgan Donaldson 4. R 3 3 1 2 (a,b, θ) = (p, q, φ) (a,b, θ) = (q, p, φ) 3 3 ∆(a, b, θ) ∆(p, q, φ) ∆(a, b, θ) ∆(p, q, φ) ⇐⇒ (a,b, θ