Differential operators, -branch curve singularities and the -subspace problem

Authors:
R. C. Cannings and M. P. Holland

Journal:
Trans. Amer. Math. Soc. **347** (1995), 1439-1451

MSC:
Primary 16S32; Secondary 14H20

DOI:
https://doi.org/10.1090/S0002-9947-1995-1273480-2

MathSciNet review:
1273480

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Abstract: Let be the coordinate ring of a smooth affine curve over an algebraically closed field of characteristic zero . For a subalgebra of with integral closure denote by the ring of differential operators on and by the finite-dimensional factor of by its unique minimal ideal. The theory of diagonal -subspace systems is introduced. This is used to show that if is a finite-dimensional -algebra and is any integer there exists such an with

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Additional Information

DOI:
https://doi.org/10.1090/S0002-9947-1995-1273480-2

Keywords:
Differential operators,
finite-dimensional algebras,
Morita equivalences,
diagonals,
subspace sytems,
curves,
singularities

Article copyright:
© Copyright 1995
American Mathematical Society