Differential operators on toric varieties and Fourier transform |
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Authors: | Giovanni Felder Carlo A. Rossi |
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Affiliation: | (1) Department of Mathematics, ETH Zürich, 8092 Zürich, Switzerland |
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Abstract: | We show that Fourier transforms on the Weyl algebras have a geometric counterpart in the framework of toric varieties, namely they induce isomorphisms between twisted rings of differential operators on regular toric varieties, whose fans are related to each other by reflections of one-dimensional cones. The simplest class of examples is provided by the toric varieties related by such reflections to projective spaces. It includes the blow-up at a point of the affine space and resolution of singularities of varieties appearing in the study of the minimal orbit of . |
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Keywords: | Primary 13S32 Secondary 14M25 |
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