EXTENDED DEGREE OF RATIONAL MAPS

Abstract

In the article [1], we see that the birational maps of degree d of
the projective space Pn k form a locally closed subvariety of the projective space P(Sdn+1), denoted Crd(n). In this paper, we will construct the notion of extended degree of rational maps, then we obtain the functor crd(n) that represents the variety Crd(n).