On generalisations of Losev-Manin moduli spaces for classical root systems

Details On generalisations of Losev-Manin moduli spaces for classical root systems On generalisations of Losev-Manin moduli spaces for classical root systems

2009-12-15

arxiv.org/abs/0912.2898v3

Pure Appl. Math. Q. 7 (2011), 1053-1084

Mathematics

Algebraic Geometry

25 pages

Scientific paper

Losev and Manin introduced fine moduli spaces $\bar{L}_n$ of stable $n$-pointed chains of projective lines. The moduli space $\bar{L}_{n+1}$ is isomorphic to the toric variety $X(A_n)$ associated with the root system $A_n$, which is part of a general construction to associate with a root system $R$ of rank $n$ an $n$-dimensional smooth projective toric variety $X(R)$. In this paper we investigate generalisations of the Losev-Manin moduli spaces for the other families of classical root systems.

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