This paper devises the theory of universal residual intersection. The mainresult is that in an extension of R of the form S=R(X)=R mR , there is an s -residual intersection URI(s;I) of IS , it has th...This paper devises the theory of universal residual intersection. The mainresult is that in an extension of R of the form S=R(X)=R mR , there is an s -residual intersection URI(s;I) of IS , it has the properties that given any s -residual intersection J of I in R , URI(s;I) is essentially a deformation of J , and is the localization RI(s;I) mR of the generic s -residual intersection RI(s;I) of I .展开更多
文摘This paper devises the theory of universal residual intersection. The mainresult is that in an extension of R of the form S=R(X)=R mR , there is an s -residual intersection URI(s;I) of IS , it has the properties that given any s -residual intersection J of I in R , URI(s;I) is essentially a deformation of J , and is the localization RI(s;I) mR of the generic s -residual intersection RI(s;I) of I .