On a certain non-split cubic surface
classification
🧮 math.NT
keywords
surfacecubicasymptoticboundedcertainconjectureserrorestablish
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In this note, we establish an asymptotic formula for the number of rational points of bounded height on the singular cubic surface $$ x_0(x_1^2 + x_2^2)=x_3^3 $$ with a power-saving error term, which verifies the Manin-Peyre conjectures for this surface.
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