Rational Curves on Del Pezzo Manifolds

2015/11/12 by Zahariuc, Adrian
#Algebraic Geometry (math.AG) #FOS: Mathematics

paper · doi:10.48550/arxiv.1511.04049

Abstract

We exploit an elementary specialization technique to study some properties of rational curves on index n-1 Fano n-folds. We prove a simple formula for counting rational curves passing through a suitable number of points in the case n=3. The arguments have immediate deformation theoretic consequences which translate to properties of the normal bundles of such curves.

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