An infinitesimal-birational duality through differential operators
Algebraic Geometry
2007-05-23 v1 Quantum Algebra
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.
Cite
@article{arxiv.math/0511720,
title = {An infinitesimal-birational duality through differential operators},
author = {Tomasz Maszczyk},
journal= {arXiv preprint arXiv:math/0511720},
year = {2007}
}
Comments
18 pages