Équations différentielles à points singuliers irréguliers et phénomène de Stokes en dimension 2

By C. Sabbah. 2000

124 citations recorded by the source corpus.

View Paper: https://www.semanticscholar.org/paper/fc60c33a7c4ca81fabb9f057b7b8615a6ad6a115

How researchers see this paper

The researchers whose trusted networks rank it highest, strongest advocate first. Every researcher gets a different order.

1. H. Iritani
2. T. Mochizuki
3. M. Kontsevich
4. L. Katzarkov
5. L.Katzarkov
6. C. Sabbah
7. A. D'agnolo
8. M. Hien

Citations in the corpus

• Hodge theoretic aspects of mirror symmetry (2008, methodology): “• Various versions of the notion of a (complex,polarized) nc-Hodge structure appear in algebraic geometry and non-abelian Hodge theory in the works of Simpson [Sim97a, Sim97b] and T.Mochizuki [Moc06a, Moc06b, Moc07a, Moc07b] under the names of (tame or wild) harmonic bundle or pure twistor structure”
• Wild Harmonic Bundles and Wild Pure Twistor D-modules (2008, methodology): “In several variable case, it was studied in [55] and [75], from a different point of view.”
• Riemann-Hilbert correspondence for holonomic D-modules (2013, result): “Notices, doi:10.1093/imrn/rns247 (2012), 27 pp. [26] C. Sabbah, Équations différentielles à points singuliers irréguliers et phénomène de Stokes en dimension 2, Astérisque 263 (2000), viii+190 pp. [27] , Introduction to Stokes Structures, Lecture Notes in Mathematics 2060, Springer (2013), xiv+249 p”
• Good formal structure for meromorphic flat connections on smooth projective surfaces (2008, methodology): “A G ] 1 0 M ar 2 00 We prove the algebraic version of a conjecture of C. Sabbah on the existence of the good formal structure for meromorphic flat connections on surfaces after some blow up.”
• Galois Theory of Linear Differential Equations (2012, background): “Meromorphic integrable connections with irregular singularities and their asymptotic properties are treated in [193, 195], [251, 252] and [185].”
• Mixed Twistor D-modules (2011, methodology): “We recall some sheaves, following Sabbah in [44] and [46], to which we refer for more details and precision.”
• Hodge theoretic aspects of mirror symmetry (2008, methodology): “• Various versions of the notion of a (complex,polarized) nc-Hodge structure appear in algebraic geometry and non-abelian Hodge theory in the works of Simpson [Sim97a, Sim97b] and T.Mochizuki [Moc06a, Moc06b, Moc07a, Moc07b] under the names of (tame or wild) harmonic bundle or pure twistor structure”
• Semistable reduction for overconvergent F-isocrystals, IV: local semistable reduction at nonmonomial valuations (2006, unknown): “It is worth noting that this study has an interesting analogue over the complex numbers, in the investigation of the Stokes phenomenon conducted by Sabbah [29].”
• Gauss-Manin systems, Brieskorn lattices and Frobenius structures (I) (2002, background): “A more precise relationship between the characteristic variety of M and the irregularity of M along x - 0 is given in [53], Chapter 3, Proposition 4.”
• Periods for flat algebraic connections (2008, background): “The following generalization of the one-dimensional BorelRitt theorem tells us that the sequence 0 → A e X → A e X TD → A ê X|D → 0 is exact (see [18], II.”
• Good formal structures for flat meromorphic connections, I: Surfaces (2008, methodology): “However, if both f ∗E and f ∗ End(E) have good formal structures in the sense of Sabbah, then f ∗E has a good formal structure in the sense of Mochizuki.”