On the number of rational maps between varieties of general type
Vol. 1 (1994), No. 2, Page 423--433.
Bandman, T. ; Markushevich, D.
On the number of rational maps between varieties of general type
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Abstract:
Let X,Y be two complex projective varieties with only canonical singularities and big and nef canonical line bundles KX,KY. Then the set R(X,Y) of all dominant rational maps f:X→Y is finite. We prove that the number #R(X,Y) of this maps has the upper estimate, which depends only on the dimension dimX=n, selfintersection KnX and product r=rXrY of indices rX and rY of varieties X and Y.
Mathematics Subject Classification (1991): Primary 14E05; Secondary 14E09
Mathematical Reviews Number: MR1317467
Received: 1993-11-15
