Introduction to Stokes structures / Claude Sabbah.

Author/creator Sabbah, Claude
Format Electronic
Publication InfoHeidelberg ; New York : Springer,
Descriptionxiv, 249 p. : ill. ; 24 cm.
Supplemental ContentFull text available from Springer Books
Supplemental ContentFull text available from Springer Nature - Springer Mathematics and Statistics eBooks 2013 English International
Supplemental ContentFull text available from SpringerLINK Lecture Notes in Mathematics Contemporary (1997-present)
Subjects
Differential equations, Linear.
Functions of complex variables.
Sheaf theory.
D-modules.

SeriesLecture notes in mathematics, 0075-8434 ; 2060
Lecture notes in mathematics (Springer-Verlag) ; 2060. ^A496146
Contents 1. T-filtrations -- 2. Stokes-filtered local systems in dimension one -- 3. Abelianity and strictness -- 4. Stokes-perverse sheaves on Riemann surfaces -- 5. The Riemann-Hilbert correspondence for holonomic D-modules on curves -- 6. Applications of the Riemann-Hilbert correspondence to holonomic distributions -- 7. Riemann-Hilbert and Laplace on the affine line (the regular case) -- 8. Real blow-up spaces and moderate de Rham complexes -- 9. Stokes-filtered local systems along a divisor with normal crossings -- 10. The Riemann-Hilbert correspondence for good meromorphic connections (case of a smooth divisor) -- 11. Good meromorphic connections (formal theory) -- 12. Good meromorphic connections (analytic theory) and the Riemann-Hilbert correspondence -- 13. Push-forward of Stokes-filtered local systems -- 14. Irregular nearby cycles -- 15. Nearby cycles of Stokes-filtered local systems.
Bibliography noteIncludes bibliographical references (p. 239-243) and indexes.
Access restrictionAvailable only to authorized users.
Technical detailsMode of access: World Wide Web
Genre/formElectronic books.
LCCN 2012947650
ISBN9783642316944 (pbk.)
ISBN3642316948 (pbk.)

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