Rational Curves on K3 Surfaces
classification
🧮 math.AG
keywords
curvesrationalsurfacesapproachbogomolov-hassett-tschinkelcharacteristiccontainextends
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We show that projective K3 surfaces with odd Picard rank contain infinitely many rational curves. Our proof extends the Bogomolov-Hassett-Tschinkel approach, i.e., uses moduli spaces of stable maps and reduction to positive characteristic.
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