Double lines in the quintic del Pezzo fourfold

Abstract

Let $Y$ be the del Pezzo $4$-fold defined by the linear section $\text{Gr}(2,5)$ by ${\mathbb{P}}^7$. In this paper, we classify the type of normal bundles of lines in $Y$ and describe its parameter space. As a corollary, we obtain the desigularized model of the moduli space of stable maps in $Y$. Also we compute the intersection Poincaré polynomial of the stable maps space.

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Cited by in corpus (1)

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