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Could any body show me the difference between rational map and polynomial map between affine varieties? What are the relations between them? Please feel freely answering my question since I am a newbie to algebraic geometry and I am not talented.

Thank for reading my question.

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A rational map is one given by a quotient of polynomials, while a polynomial map is one given by a polynomial. –  Alex Becker Feb 16 '12 at 16:12
    
Thank Becker for that. I got a sensation about something deeper, but I could not find or say it concretely. –  Arsenaler Feb 16 '12 at 16:23
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For an example, consider maps between the variety in affine 2-space defined by $x=0$ and that defined by $xy-1=0$. –  Alex Becker Feb 16 '12 at 17:40

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