Fang, JiangXue Calculation of local Fourier transforms for formal connections. (English) Zbl 1195.14023 Sci. China, Ser. A 52, No. 10, 2195-2206 (2009). Summary: We calculate the local Fourier transforms for formal connections. In particular, we verify some formulas analogous to a conjecture of Laumon and Malgrange for \(\ell \)-adic local Fourier transforms. Cited in 7 Documents MSC: 14F10 Differentials and other special sheaves; D-modules; Bernstein-Sato ideals and polynomials 14F40 de Rham cohomology and algebraic geometry × Cite Format Result Cite Review PDF Full Text: DOI arXiv References: [1] Bloch S, Esnault H. Local Fourier transforms and rigidity for D-Modules. Asian J Math, 8(4): 587–605 (2004) · Zbl 1082.14506 [2] López R G. Microlocalization and stationary phase. Asian J Math, 8(4): 747–768 (2004) · Zbl 1100.32005 [3] Laumon G. Transformation de Fourier, constantes d’équations fonctionnelles et conjecture de Weil. Publ Math IHES, 65: 131–210 (1987) · Zbl 0641.14009 [4] Katz N. On the calculation of some differential Galois groups. Invent Math, 87: 13–61 (1986) · Zbl 0609.12025 · doi:10.1007/BF01389152 [5] Fu L. Calculation of -adic local Fourier transformations. ArXiv:math/0702436 [6] Sabbah C. An explicit stationary phase formula for the local formal Fourier-Laplace transform. ArXiv:0706.3570. · Zbl 1162.32018 [7] Deligne P. Équations Différentielles à Points Singuliers Réguliers. Lectures Notes in Math, vol. 163. New York: Springer-Verlag, 1970 · Zbl 0244.14004 This reference list is based on information provided by the publisher or from digital mathematics libraries. Its items are heuristically matched to zbMATH identifiers and may contain data conversion errors. In some cases that data have been complemented/enhanced by data from zbMATH Open. This attempts to reflect the references listed in the original paper as accurately as possible without claiming completeness or a perfect matching.