Combinatorial invariants of algebraic Hamiltonian actions

Details Combinatorial invariants of algebraic Hamiltonian actions Combinatorial invariants of algebraic Hamiltonian actions

2007-01-28

arxiv.org/abs/math/0701823v2

Mosc. Math. J. 8 (2008), no. 3, 493--519,

Mathematics

Algebraic Geometry

23 pages, v2 Propositions 7.16,8.8 strengthened, some auxiliary statements modified, some comments on previously obtained resu

Scientific paper

To any Hamiltonian action of a reductive algebraic group $G$ on a smooth irreducible symplectic variety $X$ we associate certain combinatorial invariants: Cartan space, Weyl group, weight and root lattices. For cotangent bundles our invariants essentially coincide with those arising in the theory of equivarant embeddings. Using our approach we establish some properties of the latter invariants.

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