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An infinitesimal-birational duality through differential operators

Tomasz Maszczyk
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Abstract

The structure of filtered algebras of Grothendieck's differential operators of truncated polynomials in one variable and graded Poisson algebras of their principal symbols is explicitly determined. A related infinitesimal-birational duality realized by a Springer type resolution of singularities and the Fourier transformation is presented. This algebro-geometrical duality is quantized in appropriate sense and its quantum origin is explained.

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Tomasz Maszczyk. 2005-11-30. An infinitesimal-birational duality through differential operators. https://arxiv.org/abs/math/0511720

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