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arXiv · 1511.04049

Rational Curves on Del Pezzo Manifolds

Adrian Zahariuc
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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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Adrian Zahariuc. 2015-11-12. Rational Curves on Del Pezzo Manifolds. https://arxiv.org/abs/1511.04049

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