Hamiltonian torus actions on symplectic orbifolds and toric varieties

Eugene Lerman; Susan Tolman

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arXiv · dg-ga/9511008

Hamiltonian torus actions on symplectic orbifolds and toric varieties

Eugene Lerman·Susan Tolman

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Abstract

In the first part of the paper, we build a foundation for further work on Hamiltonian actions on symplectic orbifolds. Most importantly we prove the orbifold versions of the abelian connectedness and convexity theorems. In the second half, we prove that compact symplectic orbifolds with completely integrable torus actions are classified by convex simple rational polytopes with a positive integer attached to each facet and that all such orbifolds are algebraic toric varieties.

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BibTeX RIS

Eugene Lerman, Susan Tolman. 1995-11-18. Hamiltonian torus actions on symplectic orbifolds and toric varieties. https://arxiv.org/abs/dg-ga/9511008

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