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

Autor:	Brugalle, Erwan, Georgieva, Penka
Rok vydání:	2015
Předmět:	Mathematics - Algebraic Geometry Mathematics - Symplectic Geometry
Druh dokumentu:	Working Paper
Popis:	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. Comment: 14 pages, 4 figures, minor corrections following referee's suggestions
Databáze:	arXiv
Externí odkaz:	http://arxiv.org/abs/1508.02560 Zobrazit plný text záznamu View this record from Arxiv