2022-01-28T01:30:56Zhttps://repository.dl.itc.u-tokyo.ac.jp/oaioai:repository.dl.itc.u-tokyo.ac.jp:000403702021-03-01T21:00:05ZOn the number of rational maps between varieties of general typeBandman, T.138968415application/pdfLet $X,Y$ be two complex projective varieties with only canonical singularities and big and nef canonical line bundles $K_X , K_Y$. Then the set $R(X,Y)$ of all dominant rational maps $f : X \to Y$ is finite. We prove that the number $\# R(X,Y)$ of this maps has the upper estimate, which depends only on the dimension $dim X=n$, selfintersection $K^n_X$ and product $r=r_Xr_Y$ of indices $r_X$ and $r_Y$ of varieties $X$ and $Y$.departmental bulletin paperGraduate School of Mathematical Sciences, The University of Tokyo1994application/pdfJournal of mathematical sciences, the University of Tokyo21423433AA1102165313405705https://repository.dl.itc.u-tokyo.ac.jp/record/40370/files/jms010208.pdfeng