Circle and torus actions on equal symplectic blow-ups of CP2
Abstract
A manifold obtained by k simultaneous symplectic blow-ups of CP2 of equal sizes epsilon (where the size of CP1 ⊂ CP2 is one) admits an effective two dimensional torus action if k <= 3 and admits an effective circle action if (k-1)epsilon < 1. We show that these bounds are sharp if 1/epsilon is an integer.
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