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arXiv · 1401.7208

Every symplectic toric orbifold is a centered reduction of a Cartesian product of weighted projective spaces

Aleksandra Marinković·Milena Pabiniak
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Abstract

We prove that every symplectic toric orbifold is a centered reduction of a Cartesian product of weighted projective spaces. A theorem of Abreu and Macarini shows that if the level set of the reduction passes through a non-displaceable set then the image of this set in the reduced space is also non-displaceable. Using this result we show that every symplectic toric orbifold contains a non-displaceable fiber and we identify this fiber.

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Aleksandra Marinković, Milena Pabiniak. 2015-05-14. Every symplectic toric orbifold is a centered reduction of a Cartesian product of weighted projective spaces. https://arxiv.org/abs/1401.7208

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