One-dimensional infinitesimal-birational duality through differential operators

Tomasz Maszczyk. "One-dimensional infinitesimal-birational duality through differential operators." Fundamenta Mathematicae 191.1 (2006): 23-43. <http://eudml.org/doc/283118>.

@article{TomaszMaszczyk2006,
abstract = {The structure of filtered algebras of Grothendieck's differential operators on a smooth fat point in a curve 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.},
author = {Tomasz Maszczyk},
journal = {Fundamenta Mathematicae},
keywords = {algebraic differential operators; non-reduced schemes; moment maps; Springer resolutions; Fourier transforms; Morita equivalences},
language = {eng},
number = {1},
pages = {23-43},
title = {One-dimensional infinitesimal-birational duality through differential operators},
url = {http://eudml.org/doc/283118},
volume = {191},
year = {2006},
}

TY - JOUR
AU - Tomasz Maszczyk
TI - One-dimensional infinitesimal-birational duality through differential operators
JO - Fundamenta Mathematicae
PY - 2006
VL - 191
IS - 1
SP - 23
EP - 43
AB - The structure of filtered algebras of Grothendieck's differential operators on a smooth fat point in a curve 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.
LA - eng
KW - algebraic differential operators; non-reduced schemes; moment maps; Springer resolutions; Fourier transforms; Morita equivalences
UR - http://eudml.org/doc/283118
ER -