Summary
A coherent D X -module M whose characterstic variety has dimension dim(X) is called holonomic. Let M be a holonomic module. The involutivity of SS(M) implies that it is a conic Lagrangian analytic set in T*(X). Let {X α } be a Whitney stratification for which
This is a preview of subscription content, log in via an institution to check access.
Access this chapter
Tax calculation will be finalised at checkout
Purchases are for personal use only
Preview
Unable to display preview. Download preview PDF.
Notes
Bernstein, J., The analytic continuation of generalized functions with respect to a parameter, ibid. 8: 4 (1972), 26–40.
Björk, J-E., Rings of differential operators, North-Holland, 1979.
Kashiwara, M., On the maximally overdetermined systems of linear differential equations, Publ. RIMS Kyoto Univ. 10 (1975), 563–579.
Kashiwara, M., b-functions and holonomic systems II, Invent. Math. 38 (1976), 121–135.
Author information
Authors and Affiliations
Rights and permissions
Copyright information
© 1993 Springer Science+Business Media Dordrecht
About this chapter
Cite this chapter
Björk, JE. (1993). Holonomic D-modules. In: Analytic D-Modules and Applications. Mathematics and Its Applications, vol 247. Springer, Dordrecht. https://doi.org/10.1007/978-94-017-0717-6_4
Download citation
DOI: https://doi.org/10.1007/978-94-017-0717-6_4
Publisher Name: Springer, Dordrecht
Print ISBN: 978-90-481-4238-5
Online ISBN: 978-94-017-0717-6
eBook Packages: Springer Book Archive