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arxiv: math/0212315 · v1 · submitted 2002-12-23 · 🧮 math.AG

Noether-Lefschetz for K₁ of a Surface, Revisited

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keywords surfaceargumentdegreeelementarygeneralgiveleastlefschetz
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Let Z be a general surface in P^3 of degree at least 5. Using a Lefschetz pencil argument, we give an elementary new proof of the vanishing of a regulator on K_1(Z).

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