A Normal Form for Cubic Surfaces
نویسنده
چکیده
We consider cubic surfaces with rational coefficients that contain a rational point and satisfy a certain condition regarding their coefficients. Each such cubic surface is shown to be birationally equivalent to a surface of the form z2 = f(x, y), where f(x, y) is a polynomial of degree at most 4. Our method is similar to that which Tate and Silverman used in [2] to put cubic curves into Weierstrass form. Mathematics Subject Classification: 14J25, 14E05
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تاریخ انتشار 2009