Pencils of quadrics and Gromov-Witten-Welschinger invariants of $\mathbb C P^3$ - Archive ouverte HAL Access content directly
Journal Articles Mathematische Annalen Year : 2016

Pencils of quadrics and Gromov-Witten-Welschinger invariants of $\mathbb C P^3$

Abstract

We establish a formula for the Gromov-Witten-Welschinger invariants of $\mathbb CP^3$ with mixed real and conjugate point constraints. The method is based on a suggestion by J. Koll\'ar that, considering pencils of quadrics, some real and complex enumerative invariants of $\mathbb CP^3$ could be computed in terms of enumerative invariants of $\mathbb CP^1\times\mathbb CP^1$ and of elliptic curves.

Dates and versions

hal-02175106 , version 1 (05-07-2019)

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Erwan Brugallé, Penka Georgieva. Pencils of quadrics and Gromov-Witten-Welschinger invariants of $\mathbb C P^3$. Mathematische Annalen, 2016, 365 (1-2), pp.363-380. ⟨hal-02175106⟩
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