Non-holonomic simple $\mathcal D$-modules over complete intersections
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Abstract:
We show that if $X$ is a complex affine algebraic variety whose projective closure is a smooth complete intersection of dimension $n \geq 3$, then there exist non-holonomic simple ${\mathcal D}(X)$-modules of dimension $n+1$.References
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Additional Information
- S. C. Coutinho
- Affiliation: Departamento de Ciência da Computação, Instituto de Matemática, Universidade Federal do Rio de Janeiro, P.O. Box 68530, 21945-970 Rio de Janeiro, RJ, Brazil
- Email: collier@impa.br
- Received by editor(s): April 3, 2001
- Received by editor(s) in revised form: August 22, 2001
- Published electronically: May 9, 2002
- Additional Notes: The author thanks Alcides Lins Neto and Luís Gustavo Mendes for many helpful conversations. During the preparation of this paper the author received financial support from CNPq and PRONEX (commutative algebra and algebraic geometry).
- Communicated by: Martin Lorenz
- © Copyright 2002 American Mathematical Society
- Journal: Proc. Amer. Math. Soc. 131 (2003), 83-86
- MSC (2000): Primary 16S32; Secondary 37F75
- DOI: https://doi.org/10.1090/S0002-9939-02-06497-3
- MathSciNet review: 1929026