Is $Y=V(\cos(t),\sin(t),t)\subset k^3$ a variety?
I think this is not a variety but I do not know how to prove this rigorously, could someone help me please? How does it look on the $k^3$ plane? Thank you very much.
2026-03-25 06:12:12.1774419132
Is $Y=V(\cos(t),\sin(t),t)\subset k^3$ a variety?
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It intersects with the line $x=1, y=0$ infinitely may times, which is impossible for varieties unless it contains the line.