Geodesic
One-dimensional infinitesimal-birational duality through differential operators
Tomasz Maszczyk1
1 Institute of Mathematics Polish Academy of Sciences Śniadeckich 8 00-956 Warszawa, Poland and Institute of Mathematics University of Warsaw Banacha 2 02-097 Warszawa, Poland
Fundamenta Mathematicae, Tome 191 (2006) no. 1, pp. 23-43

Voir la notice de l'article provenant de la source Institute of Mathematics Polish Academy of Sciences

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.
DOI : 10.4064/fm191-1-2
Keywords: structure filtered algebras grothendiecks differential operators smooth fat point curve graded poisson algebras their principal symbols explicitly determined related infinitesimal birational duality realized springer type resolution singularities fourier transformation presented algebro geometrical duality quantized appropriate sense its quantum origin explained

Tomasz Maszczyk 1

1 Institute of Mathematics Polish Academy of Sciences Śniadeckich 8 00-956 Warszawa, Poland and Institute of Mathematics University of Warsaw Banacha 2 02-097 Warszawa, Poland 
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 duality through differential operators
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 duality through differential operators
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Tomasz Maszczyk. One-dimensional infinitesimal-birational
 duality through differential operators. Fundamenta Mathematicae, Tome 191 (2006) no. 1, pp. 23-43. doi: 10.4064/fm191-1-2

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