ON THE FIRST KIND OF RELATIVE k-JET COHOMOLOGY OF SINGULARITIES OF MAPGERMS

摘要

＜正＞ In this paper the author generalizes the computations about the first kind of k-jetcohomology in[5]to mapgerms.The main results are as follows:Hp(Ω,k-.,x)=0,0＜p＜-dimM,x/I（）x-1 or p=m.There exists an integer s,such that(I（x）~8Hp(Ω,k-x),m-dim M,x/I（）x-1≤p≤m-1.Hence,Hp(Ω,k-.,x)are finitely generated M,x/（I（）x）~2-modules.If dimcM,x/I((x＜∞,thenHp(Ω,k-.,x)=0,0＜p＜m-1 orp=m,dimc Hm-1(Ω,k-.,x)=sum from T=1 to k-m dimc Ω（m,r）k-r-m,x＜∞.