The cokernel of the operator ∂ / ∂ x n acting on a 𝒟 n -module, II

Arno Van den Essen

Compositio Mathematica (1985)

  • Volume: 56, Issue: 2, page 259-269
  • ISSN: 0010-437X

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Van den Essen, Arno. "The cokernel of the operator $\partial / \partial x_n$ acting on a $\mathcal {D}_n$-module, II." Compositio Mathematica 56.2 (1985): 259-269. <http://eudml.org/doc/89741>.

@article{VandenEssen1985,
author = {Van den Essen, Arno},
journal = {Compositio Mathematica},
keywords = {cokernel; holonomic module; regular modules},
language = {eng},
number = {2},
pages = {259-269},
publisher = {Martinus Nijhoff Publishers},
title = {The cokernel of the operator $\partial / \partial x_n$ acting on a $\mathcal \{D\}_n$-module, II},
url = {http://eudml.org/doc/89741},
volume = {56},
year = {1985},
}

TY - JOUR
AU - Van den Essen, Arno
TI - The cokernel of the operator $\partial / \partial x_n$ acting on a $\mathcal {D}_n$-module, II
JO - Compositio Mathematica
PY - 1985
PB - Martinus Nijhoff Publishers
VL - 56
IS - 2
SP - 259
EP - 269
LA - eng
KW - cokernel; holonomic module; regular modules
UR - http://eudml.org/doc/89741
ER -

References

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  1. [1] J.-E. Björk: Rings of Differential Operators, Mathematical library series. North-Holland (1979). Zbl0499.13009MR549189
  2. [2] A. Van Den Essen: Fuchsian modules. Thesis, Catholic University Nijmegen, the Netherlands (1979). 
  3. [3] A. Van Den Essen: Le Noyau de l'opérateur ∂/∂x n agissant sur un Dn-module. C.R. Acad. Sci. Paris t.288 (1979) 687-690. Zbl0405.35073
  4. [4] A. Van Den Essen: Un D-module holonome tel que le conoyau de l'opérateur ∂/∂xn soit non-holonome. C.R. Acad. Sci. Paris t. 295 (1982) 455-457. Zbl0516.58039
  5. [5] A. Van Den Essen: Le conoyau de l'opérateur ∂/∂ n agissant sur un Dn-module holonome. C.R. Acad. Sci., Paris, t. 296 (1983) 903-906. Zbl0536.58036
  6. [6] O. Gabber: Am. Journal of Math.103 (1981) 445-468. Zbl0492.16002MR618321
  7. [7] M. Kashiwara: On the maximally overdetermined systems of linear differential equations. I. Publ., R.I.M.S., Kyoto University10, (1975) 563-579. Zbl0313.58019MR370665
  8. [8] M. Kashiwara: On the holonomic systems of linear differential equations. II. Inventiones Math.49 (1978) 121-135. Zbl0401.32005MR511186
  9. [9] H. Matsumura: Commutative Algebra. New York: W.A. Benjamin, Inc. (1970). Zbl0211.06501MR266911

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