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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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    For an example, consider maps between the variety in affine 2-space defined by $x=0$ and that defined by $xy-1=0$.2012-02-16

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