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Algebraic varieties, stacks, sheaves, schemes, moduli spaces, complex geometry, quantum cohomology.

4 votes

Curve with a rational point but no new points in number fields of low degree

In the case of affine algebraic curves, homogenizing a polynomial with no roots in a number field of degree up to $d$ should do. For example, $x^3 + y^2x + y^3 = 0$ has a rational point $(0, 0)$ and n …
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