D’Agnolo, Andrea; Kashiwara, Masaki Enhanced specialization and microlocalization. (English) Zbl 07309272 Sel. Math., New Ser. 27, No. 1, Paper No. 7, 33 p. (2021). MSC: 32C38 35A27 14F10 PDF BibTeX XML Cite \textit{A. D'Agnolo} and \textit{M. Kashiwara}, Sel. Math., New Ser. 27, No. 1, Paper No. 7, 33 p. (2021; Zbl 07309272) Full Text: DOI
D’Agnolo, Andrea; Kashiwara, Masaki On a topological counterpart of regularization for holonomic \(\mathscr{D}\)-modules. (Sur un analogue topologique de la régularisation pour les \(\mathscr{D}\)-modules holonomes.) (English. French summary) Zbl 07282221 J. Éc. Polytech., Math. 8, 27-55 (2021). MSC: 32C38 14F05 PDF BibTeX XML Cite \textit{A. D'Agnolo} and \textit{M. Kashiwara}, J. Éc. Polytech., Math. 8, 27--55 (2021; Zbl 07282221) Full Text: DOI
Viña, Andrés Flat gauge fields and the Riemann-Hilbert correspondence. (English) Zbl 07271110 Rep. Math. Phys. 86, No. 2, 187-208 (2020). MSC: 53B50 32C38 70S15 PDF BibTeX XML Cite \textit{A. Viña}, Rep. Math. Phys. 86, No. 2, 187--208 (2020; Zbl 07271110) Full Text: DOI
Budur, Nero; Liu, Yongqiang On the length of perverse sheaves on hyperplane arrangements. (English) Zbl 1446.14008 Eur. J. Math. 6, No. 3, 681-712 (2020). Reviewer: Vladimir P. Kostov (Nice) MSC: 14F10 14F45 32C38 32S22 PDF BibTeX XML Cite \textit{N. Budur} and \textit{Y. Liu}, Eur. J. Math. 6, No. 3, 681--712 (2020; Zbl 1446.14008) Full Text: DOI
D’Agnolo, Andrea; Hien, Marco; Morando, Giovanni; Sabbah, Claude Topological computation of some Stokes phenomena on the affine line. (Calcul topologique de certains phénomènes de Stokes sur la droite affine.) (English. French summary) Zbl 07210770 Ann. Inst. Fourier 70, No. 2, 739-808 (2020). MSC: 14F 34M40 44A10 32C38 PDF BibTeX XML Cite \textit{A. D'Agnolo} et al., Ann. Inst. Fourier 70, No. 2, 739--808 (2020; Zbl 07210770) Full Text: DOI
Biswas, Indranil On the moduli space of holomorphic \(G\)-connections on a compact Riemann surface. (English) Zbl 1439.14113 Eur. J. Math. 6, No. 2, 321-335 (2020). MSC: 14H60 14D20 53B15 PDF BibTeX XML Cite \textit{I. Biswas}, Eur. J. Math. 6, No. 2, 321--335 (2020; Zbl 1439.14113) Full Text: DOI
Wang, Botong; Budur, Nero Absolute sets and the decomposition theorem. (English) Zbl 1453.14054 Ann. Sci. Éc. Norm. Supér. (4) 53, No. 2, 469-536 (2020). MSC: 14F08 14D20 18F25 18G80 14F10 14F45 32C38 14D05 PDF BibTeX XML Cite \textit{B. Wang} and \textit{N. Budur}, Ann. Sci. Éc. Norm. Supér. (4) 53, No. 2, 469--536 (2020; Zbl 1453.14054) Full Text: DOI
D’Agnolo, Andrea; Kashiwara, Masaki Enhanced perversities. (English) Zbl 1423.32015 J. Reine Angew. Math. 751, 185-241 (2019). Reviewer: Dingxin Zhang (Beijing) MSC: 32C38 PDF BibTeX XML Cite \textit{A. D'Agnolo} and \textit{M. Kashiwara}, J. Reine Angew. Math. 751, 185--241 (2019; Zbl 1423.32015) Full Text: DOI
Chekhov, Leonid; Mazzocco, Marta; Rubtsov, Vladimir Algebras of quantum monodromy data and character varieties. (English) Zbl 1422.14033 Andersen, Jørgen Ellegaard (ed.) et al., Geometry and physics. A festschrift in honour of Nigel Hitchin. Volume 1. Oxford: Oxford University Press. 39-68 (2018). Reviewer: Vladimir P. Kostov (Nice) MSC: 14H15 14D20 17B37 14D05 PDF BibTeX XML Cite \textit{L. Chekhov} et al., in: Geometry and physics. A festschrift in honour of Nigel Hitchin. Volume 1. Oxford: Oxford University Press. 39--68 (2018; Zbl 1422.14033) Full Text: DOI
Inaba, Michi-aki; Saito, Masa-Hiko Moduli of regular singular parabolic connections with given spectral type on smooth projective curves. (English) Zbl 1401.14060 J. Math. Soc. Japan 70, No. 3, 879-894 (2018). Reviewer: Vladimir P. Kostov (Nice) MSC: 14D20 34M56 34M55 PDF BibTeX XML Cite \textit{M.-a. Inaba} and \textit{M.-H. Saito}, J. Math. Soc. Japan 70, No. 3, 879--894 (2018; Zbl 1401.14060) Full Text: DOI
Shojaei-Fard, Ali A new perspective on intermediate algorithms via the Riemann-Hilbert correspondence. (English) Zbl 1400.68071 Quantum Stud. Math. Found. 4, No. 2, 127-148 (2017). Reviewer: T. C. Mohan (Chennai) MSC: 68Q05 03D20 16T05 17B81 22E70 34A26 81R05 81T15 81T18 PDF BibTeX XML Cite \textit{A. Shojaei-Fard}, Quantum Stud. Math. Found. 4, No. 2, 127--148 (2017; Zbl 1400.68071) Full Text: DOI
Sabbah, Claude Erratum to: “A remark on the irregularity complex”. (English) Zbl 1376.32013 J. Singul. 16, 194-194 (2017). MSC: 32C38 PDF BibTeX XML Cite \textit{C. Sabbah}, J. Singul. 16, 194--194 (2017; Zbl 1376.32013) Full Text: DOI
Sabbah, Claude A remark on the irregularity complex. (English) Zbl 1371.32006 J. Singul. 16, 101-114 (2017). MSC: 32C38 PDF BibTeX XML Cite \textit{C. Sabbah}, J. Singul. 16, 101--114 (2017; Zbl 1371.32006) Full Text: DOI
Deift, Percy Some open problems in random matrix theory and the theory of integrable systems. II. (English) Zbl 1375.37160 SIGMA, Symmetry Integrability Geom. Methods Appl. 13, Paper 016, 23 p. (2017). Reviewer: Jonathan Eckhardt (Wien) MSC: 37K15 15B52 34M55 35Q53 60F05 60K35 62H25 82B44 35Q15 PDF BibTeX XML Cite \textit{P. Deift}, SIGMA, Symmetry Integrability Geom. Methods Appl. 13, Paper 016, 23 p. (2017; Zbl 1375.37160) Full Text: DOI arXiv
Liu, Ruochuan; Zhu, Xinwen Rigidity and a Riemann-Hilbert correspondence for \(p\)-adic local systems. (English) Zbl 1375.14090 Invent. Math. 207, No. 1, 291-343 (2017). Reviewer: Laurent Berger (Lyon) MSC: 14G22 14G35 14J60 11S15 PDF BibTeX XML Cite \textit{R. Liu} and \textit{X. Zhu}, Invent. Math. 207, No. 1, 291--343 (2017; Zbl 1375.14090) Full Text: DOI arXiv
Budur, Nero; Wang, Botong Local systems on analytic germ complements. (English) Zbl 1353.14006 Adv. Math. 306, 905-928 (2017). Reviewer: Vladimir P. Kostov (Nice) MSC: 14B15 14B05 32S05 PDF BibTeX XML Cite \textit{N. Budur} and \textit{B. Wang}, Adv. Math. 306, 905--928 (2017; Zbl 1353.14006) Full Text: DOI arXiv
Huang, An; Lian, Bong H.; Zhu, Xinwen Period integrals and the Riemann-Hilbert correspondence. (English) Zbl 1387.14042 J. Differ. Geom. 104, No. 2, 325-369 (2016). Reviewer: Ruifang Song (Mountain View) MSC: 14D05 14C30 14D07 53D37 PDF BibTeX XML Cite \textit{A. Huang} et al., J. Differ. Geom. 104, No. 2, 325--369 (2016; Zbl 1387.14042) Full Text: DOI Link arXiv
Stäbler, Axel \(V\)-filtrations in positive characteristic and test modules. (English) Zbl 1352.13005 Trans. Am. Math. Soc. 368, No. 11, 7777-7808 (2016). Reviewer: Manouchehr Misaghian (Prairie View) MSC: 13A35 14B05 PDF BibTeX XML Cite \textit{A. Stäbler}, Trans. Am. Math. Soc. 368, No. 11, 7777--7808 (2016; Zbl 1352.13005) Full Text: DOI arXiv
Teyssier, Jean-Baptiste On a characterization of regular holonomic \(\mathcal{D}\)-modules. (Sur une caractérisation des \(\mathcal{D}\)-modules holonomes réguliers.) (French. English summary) Zbl 1359.32010 Math. Res. Lett. 23, No. 1, 273-302 (2016). MSC: 32C38 PDF BibTeX XML Cite \textit{J.-B. Teyssier}, Math. Res. Lett. 23, No. 1, 273--302 (2016; Zbl 1359.32010) Full Text: DOI
D’Agnolo, Andrea; Kashiwara, Masaki Riemann-Hilbert correspondence for holonomic \(\mathcal{D}\)-modules. (English) Zbl 1351.32017 Publ. Math., Inst. Hautes Étud. Sci. 123, 69-197 (2016). Reviewer: Aleksandr G. Aleksandrov (Moskva) MSC: 32C38 32S60 34M40 35Q15 35A27 PDF BibTeX XML Cite \textit{A. D'Agnolo} and \textit{M. Kashiwara}, Publ. Math., Inst. Hautes Étud. Sci. 123, 69--197 (2016; Zbl 1351.32017) Full Text: DOI arXiv
Hien, Marco; Sabbah, Claude The local Laplace transform of an elementary irregular meromorphic connection. (English) Zbl 1330.14012 Rend. Semin. Mat. Univ. Padova 134, 133-196 (2015). Reviewer: Vladimir P. Kostov (Nice) MSC: 14D07 34M40 PDF BibTeX XML Cite \textit{M. Hien} and \textit{C. Sabbah}, Rend. Semin. Mat. Univ. Padova 134, 133--196 (2015; Zbl 1330.14012) Full Text: DOI arXiv
Biswas, Indranil Moduli space of \(G\)-connections on an elliptic curve. (English) Zbl 1334.14008 Ann. Global Anal. Geom. 48, No. 2, 125-132 (2015). Reviewer: Oleksandr Iena (Luxembourg) MSC: 14D20 14H52 53B15 PDF BibTeX XML Cite \textit{I. Biswas}, Ann. Global Anal. Geom. 48, No. 2, 125--132 (2015; Zbl 1334.14008) Full Text: DOI arXiv
Block, Jonathan; Smith, Aaron M. The higher Riemann-Hilbert correspondence. (English) Zbl 1304.18036 Adv. Math. 252, 382-405 (2014). MSC: 18G55 53C05 58A50 PDF BibTeX XML Cite \textit{J. Block} and \textit{A. M. Smith}, Adv. Math. 252, 382--405 (2014; Zbl 1304.18036) Full Text: DOI
Iwasaki, Katsunori On algebraic solutions to Painlevé VI. (English) Zbl 1316.34097 RIMS Kôkyûroku Bessatsu B37, 49-67 (2013). Reviewer: Shun Shimomura (Yokohama) MSC: 34M55 32M17 34M15 PDF BibTeX XML Cite \textit{K. Iwasaki}, RIMS Kôkyûroku Bessatsu B37, 49--67 (2013; Zbl 1316.34097) Full Text: arXiv
Inaba, Michi-Aki; Saito, Masa-Hiko Moduli of unramified irregular singular parabolic connections on a smooth projective curve. (English) Zbl 1267.14015 Kyoto J. Math. 53, No. 2, 433-482 (2013). Reviewer: Vladimir P. Kostov (Nice) MSC: 14D20 34M56 34M55 PDF BibTeX XML Cite \textit{M.-A. Inaba} and \textit{M.-H. Saito}, Kyoto J. Math. 53, No. 2, 433--482 (2013; Zbl 1267.14015) Full Text: DOI Euclid arXiv
Ludsteck, Thomas Algebraic and analytic parallel transport on \(p\)-adic curves. (English) Zbl 1277.14025 Abh. Math. Semin. Univ. Hamb. 83, No. 1, 83-99 (2013). Reviewer: Andrew Obus (Charlottesville) MSC: 14H30 14H60 14H70 14G22 11G20 PDF BibTeX XML Cite \textit{T. Ludsteck}, Abh. Math. Semin. Univ. Hamb. 83, No. 1, 83--99 (2013; Zbl 1277.14025) Full Text: DOI
Mazzocco, Marta; Vidunas, Raimundas Cubic and quartic transformations of the sixth Painlevé equation in terms of Riemann-Hilbert correspondence. (English) Zbl 1281.34132 Stud. Appl. Math. 130, No. 1, 17-48 (2013). Reviewer: Galina Filipuk (Warszawa) MSC: 34M55 PDF BibTeX XML Cite \textit{M. Mazzocco} and \textit{R. Vidunas}, Stud. Appl. Math. 130, No. 1, 17--48 (2013; Zbl 1281.34132) Full Text: DOI arXiv
Sabbah, Claude Introduction to Stokes structures. (English) Zbl 1260.34002 Lecture Notes in Mathematics 2060. Berlin: Springer (ISBN 978-3-642-31694-4/pbk; 978-3-642-31695-1/ebook). xiv, 249 p. (2013). Reviewer: Vladimir P. Kostov (Nice) MSC: 34-02 34M03 34M15 34M40 PDF BibTeX XML Cite \textit{C. Sabbah}, Introduction to Stokes structures. Berlin: Springer (2013; Zbl 1260.34002) Full Text: DOI arXiv
Kriz, Igor; Xiu, Yang Tree algebras: an algebraic axiomatization of intertwining vertex operators. (English) Zbl 1274.17042 Arch. Math., Brno 48, No. 5, 353-370 (2012). Reviewer: Martin Čadek (Brno) MSC: 17B69 81T40 35Q15 PDF BibTeX XML Cite \textit{I. Kriz} and \textit{Y. Xiu}, Arch. Math., Brno 48, No. 5, 353--370 (2012; Zbl 1274.17042) Full Text: DOI EMIS arXiv
Fu, Lei Integrable connections and Galois representations. (English) Zbl 1260.14025 Ji, Lizhen (ed.) et al., Fifth international congress of Chinese mathematicians. Proceedings of the ICCM ’10, Beijing, China, December 17–22, 2010. Part 1. Providence, RI: American Mathematical Society (AMS); Somerville, MA: International Press (ISBN 978-0-8218-7586-5/pbk; 978-0-8218-7555-1/set). AMS/IP Studies in Advanced Mathematics 51, pt.1, 127-137 (2012). Reviewer: Manish Kumar (Bangalore) MSC: 14G32 PDF BibTeX XML Cite \textit{L. Fu}, AMS/IP Stud. Adv. Math. 51, 127--137 (2012; Zbl 1260.14025)
Mochizuki, Takuro The Stokes structure of a good meromorphic flat bundle. (English) Zbl 1227.32011 J. Inst. Math. Jussieu 10, No. 3, 675-712 (2011). Reviewer: Daniel Barlet (Nancy) MSC: 32C38 35A27 PDF BibTeX XML Cite \textit{T. Mochizuki}, J. Inst. Math. Jussieu 10, No. 3, 675--712 (2011; Zbl 1227.32011) Full Text: DOI
Boalch, P. P. Riemann-Hilbert for tame complex parahoric connections. (English) Zbl 1232.34117 Transform. Groups 16, No. 1, 27-50 (2011). Reviewer: Alexandru Dimca (Nice) MSC: 34M35 34M50 PDF BibTeX XML Cite \textit{P. P. Boalch}, Transform. Groups 16, No. 1, 27--50 (2011; Zbl 1232.34117) Full Text: DOI arXiv
D’Agnolo, Andrea; Guillermou, Stéphane; Schapira, Pierre Regular holonomic \(\mathcal {D}[[\hbar]]\)-modules. (English) Zbl 1223.32008 Publ. Res. Inst. Math. Sci. 47, No. 1, 221-255 (2011). Reviewer: Gheorghe Gussi (Bucureşti) MSC: 32C38 14F10 PDF BibTeX XML Cite \textit{A. D'Agnolo} et al., Publ. Res. Inst. Math. Sci. 47, No. 1, 221--255 (2011; Zbl 1223.32008) Full Text: DOI arXiv
Yamakawa, Daisuke Middle convolution and Harnad duality. (English) Zbl 1217.53085 Math. Ann. 349, No. 1, 215-262 (2011). Reviewer: Boris S. Kruglikov (Tromsø) MSC: 53D30 34M15 14L24 PDF BibTeX XML Cite \textit{D. Yamakawa}, Math. Ann. 349, No. 1, 215--262 (2011; Zbl 1217.53085) Full Text: DOI arXiv
Masoero, Davide Y-system and deformed thermodynamic Bethe Ansatz. (English) Zbl 1210.34129 Lett. Math. Phys. 94, No. 2, 151-164 (2010). Reviewer: Galina Filipuk (Warszawa) MSC: 34M35 34M55 34M50 82B23 PDF BibTeX XML Cite \textit{D. Masoero}, Lett. Math. Phys. 94, No. 2, 151--164 (2010; Zbl 1210.34129) Full Text: DOI arXiv
Marcolli, Matilde Feynman integrals and motives. (English) Zbl 1192.81241 Ran, André (ed.) et al., European congress of mathematics. Proceedings of the 5th ECM congress, Amsterdam, Netherlands, July 14–18, 2008. Zürich: European Mathematical Society (EMS) (ISBN 978-3-03719-077-7/hbk). 293-332 (2010). MSC: 81T18 19E15 81-02 34M50 PDF BibTeX XML Cite \textit{M. Marcolli}, in: European congress of mathematics. Proceedings of the 5th ECM congress, Amsterdam, Netherlands, July 14--18, 2008. Zürich: European Mathematical Society (EMS). 293--332 (2010; Zbl 1192.81241)
Miller, Carl A. An Euler-Poincaré bound for equicharacteristic étale sheaves. (English) Zbl 1185.14016 Algebra Number Theory 4, No. 1, 21-45 (2010). MSC: 14F20 13A35 14F30 PDF BibTeX XML Cite \textit{C. A. Miller}, Algebra Number Theory 4, No. 1, 21--45 (2010; Zbl 1185.14016) Full Text: DOI Link
Marcolli, Matilde Feynman motives. (English) Zbl 1192.14001 Hackensack, NJ: World Scientific (ISBN 978-981-4271-20-2/hbk; 978-981-4304-48-1/pbk; 978-981-4271-21-9/ebook). xiii, 220 p. (2010). Reviewer: Hirokazu Nishimura (Tsukuba) MSC: 14-02 81-02 14C15 81Q30 14A22 14J81 PDF BibTeX XML Cite \textit{M. Marcolli}, Feynman motives. Hackensack, NJ: World Scientific (2010; Zbl 1192.14001) Full Text: Link
Szabó, Szilárd The extension of a Fuchsian equation onto the projective line. (English) Zbl 1199.14010 Acta Sci. Math. 74, No. 3-4, 557-564 (2008). Reviewer: Atanas Iliev (Sofia) MSC: 14H60 34M50 34M35 35Q15 PDF BibTeX XML Cite \textit{S. Szabó}, Acta Sci. Math. 74, No. 3--4, 557--564 (2008; Zbl 1199.14010)
Deift, Percy Some open problems in random matrix theory and the theory of integrable systems. (English) Zbl 1147.15305 Baik, Jinho (ed.) et al., Integrable systems and random matrices. In honor of Percy Deift. Conference on integrable systems, random matrices, and applications in honor of Percy Deift’s 60th birthday, New York, NY, USA, May 22–26, 2006. Providence, RI: American Mathematical Society (AMS) (ISBN 978-0-8218-4240-9/pbk). Contemporary Mathematics 458, 419-430 (2008). MSC: 15B52 35Q15 37K15 34M55 35Q53 35Q55 62H25 60F05 PDF BibTeX XML Cite \textit{P. Deift}, Contemp. Math. 458, 419--430 (2008; Zbl 1147.15305) Full Text: arXiv
Iwasaki, Katsunori Finite branch solutions to Painlevé VI around a fixed singular point. (English) Zbl 1163.34061 Adv. Math. 217, No. 5, 1889-1934 (2008). Reviewer: Shun Shimomura (Yokohama) MSC: 34M55 34M35 PDF BibTeX XML Cite \textit{K. Iwasaki}, Adv. Math. 217, No. 5, 1889--1934 (2008; Zbl 1163.34061) Full Text: DOI arXiv
Connes, Alain; Marcolli, Matilde Noncommutative geometry, quantum fields and motives. (English) Zbl 1209.58007 Colloquium Publications. American Mathematical Society 55. Providence, RI: American Mathematical Society (AMS)/Hindustan Book Agency (ISBN 978-0-8218-4210-2/hbk). xxii, 785 p. (2008). Reviewer: Hirokazu Nishimura (Tsukuba) MSC: 58B34 58-02 11-02 81-02 11G35 PDF BibTeX XML Cite \textit{A. Connes} and \textit{M. Marcolli}, Noncommutative geometry, quantum fields and motives. Providence, RI: American Mathematical Society (AMS)/Hindustan Book Agency (2008; Zbl 1209.58007)
Hotta, Ryoshi; Takeuchi, Kiyoshi; Tanisaki, Toshiyuki \(D\)-modules, perverse sheaves, and representation theory. Translated from the Japanese by Kiyoshi Takeuchi. Expanded edition. (English) Zbl 1136.14009 Progress in Mathematics 236. Basel: Birkhäuser (ISBN 978-0-8176-4363-8/hbk). x, 407 p. (2008). Reviewer: Gheorghe Gussi (Bucureşti) MSC: 14F10 32C38 22E46 14F40 35A27 17B10 14-02 32-02 PDF BibTeX XML Cite \textit{R. Hotta} et al., \(D\)-modules, perverse sheaves, and representation theory. Translated from the Japanese by Kiyoshi Takeuchi. Expanded edition. Basel: Birkhäuser (2008; Zbl 1136.14009)
Ogus, A.; Vologodsky, V. Nonabelian Hodge theory in characteristic \(p\). (English) Zbl 1140.14007 Publ. Math., Inst. Hautes Étud. Sci. 106, 1-138 (2007). Reviewer: Werner Kleinert (Berlin) MSC: 14C30 14F40 14F05 14F43 14F10 14K15 PDF BibTeX XML Cite \textit{A. Ogus} and \textit{V. Vologodsky}, Publ. Math., Inst. Hautes Étud. Sci. 106, 1--138 (2007; Zbl 1140.14007) Full Text: DOI EuDML
Iwasaki, Katsunori Some dynamical aspects of Painlevé VI. (English) Zbl 1177.34112 Aoki, Takashi (ed.) et al., Algebraic analysis of differential equations. From microlocal analysis to exponential asymptotics. Festschrift in honor of Takahiro Kawai. Containing papers presented at the conference on algebraic analysis of differential equations–from microlocal analysis to exponential asymptotics, Kyoto, Japan, July 7–14, 2005. Tokyo: Springer (ISBN 978-4-431-73239-6/hbk). 143-156 (2007). Reviewer: N. M. J. Woodhouse (Oxford) MSC: 34M55 PDF BibTeX XML Cite \textit{K. Iwasaki}, in: Algebraic analysis of differential equations. From microlocal analysis to exponential asymptotics. Festschrift in honor of Takahiro Kawai. Containing papers presented at the conference on algebraic analysis of differential equations--from microlocal analysis to exponential asymptotics, Kyoto, Japan, July 7--14, 2005. Tokyo: Springer. 143--156 (2007; Zbl 1177.34112)
Dettweiler, Michael; Wewers, Stefan Variation of parabolic cohomology and Poincaré duality. (English) Zbl 1157.14003 Bertrand, Daniel (ed.) et al., Groupes de Galois arithmétique et différentiels. Paris: Société Mathématique de France (ISBN 978-2-85629-222-8/pbk). Séminaires et Congrès 13, 145-164 (2006). Reviewer: Vladimir P. Kostov (Nice) MSC: 14D05 14H70 14F05 PDF BibTeX XML Cite \textit{M. Dettweiler} and \textit{S. Wewers}, Sémin. Congr. 13, 145--164 (2006; Zbl 1157.14003) Full Text: arXiv
Connes, Alain; Marcolli, Matilde Quantum fields and motives. (English) Zbl 1092.81050 J. Geom. Phys. 56, No. 1, 55-85 (2006). Reviewer: Jan Hamhalter (Praha) MSC: 81T15 81T16 11S20 PDF BibTeX XML Cite \textit{A. Connes} and \textit{M. Marcolli}, J. Geom. Phys. 56, No. 1, 55--85 (2006; Zbl 1092.81050) Full Text: DOI arXiv
Esnault, Hélène Variation on Artin’s vanishing theorem. (English) Zbl 1083.14018 Adv. Math. 198, No. 2, 435-438 (2005). MSC: 14F17 14F30 14F40 PDF BibTeX XML Cite \textit{H. Esnault}, Adv. Math. 198, No. 2, 435--438 (2005; Zbl 1083.14018) Full Text: DOI arXiv
Illusie, Luc; Kato, Kazuya; Nakayama, Chikara Quasi-unipotent logarithmic Riemann-Hilbert correspondences. (English) Zbl 1082.14024 J. Math. Sci., Tokyo 12, No. 1, 1-66 (2005); erratum ibid. 14, No. 1, 113-116 (2007). Reviewer: Viorel Vâjâitu (Bucureşti) MSC: 14F40 14F20 32C38 32G20 PDF BibTeX XML Cite \textit{L. Illusie} et al., J. Math. Sci., Tokyo 12, No. 1, 1--66 (2005; Zbl 1082.14024)
Inaba, Michi-Aki; Iwasaki, Katsunori; Saito, Masa-Hiko Bäcklund transformations of the sixth Painlevé equation in terms of Riemann-Hilbert correspondence. (English) Zbl 1087.34062 Int. Math. Res. Not. 2004, No. 1, 1-30 (2004). Reviewer: J. Saurer (Regensburg) MSC: 34M55 34M50 PDF BibTeX XML Cite \textit{M.-A. Inaba} et al., Int. Math. Res. Not. 2004, No. 1, 1--30 (2004; Zbl 1087.34062) Full Text: DOI
Kashiwara, Masaki \(t\)-structures on the derived categories of holonomic \({\mathcal D}\)-modules and coherent \({\mathcal O}\)-modules. (English) Zbl 1073.14023 Mosc. Math. J. 4, No. 4, 847-868 (2004). Reviewer: Alberto Parmeggiani (Bologna) MSC: 14F05 32C38 18E30 PDF BibTeX XML Cite \textit{M. Kashiwara}, Mosc. Math. J. 4, No. 4, 847--868 (2004; Zbl 1073.14023) Full Text: Link arXiv
Emerton, Matthew; Kisin, Mark The Riemann-Hilbert correspondence for unit \(F\)-crystals. (English) Zbl 1056.14025 Astérisque 293. Paris: Société Mathématique de France (ISBN 2-85629-154-6/pbk ). 257 p. (2004). Reviewer: Gerd Faltings (Bonn) MSC: 14F30 PDF BibTeX XML Cite \textit{M. Emerton} and \textit{M. Kisin}, The Riemann-Hilbert correspondence for unit \(F\)-crystals. Paris: Société Mathématique de France (2004; Zbl 1056.14025)
Blickle, Manuel The intersection homology \(D\)-module in finite characteristic. (English) Zbl 1065.14006 Math. Ann. 328, No. 3, 425-450 (2004). Reviewer: Aleksandr G. Aleksandrov (Moskva) MSC: 14B15 13N10 14L30 13D45 13A35 14F10 PDF BibTeX XML Cite \textit{M. Blickle}, Math. Ann. 328, No. 3, 425--450 (2004; Zbl 1065.14006) Full Text: DOI arXiv
Di Vizio, L.; Ramis, J.-P.; Sauloy, J.; Zhang, C. \(q\)-difference equations. (Équations aux \(q\)-différences.) (French) Zbl 1063.39015 Gaz. Math., Soc. Math. Fr. 96, 20-49 (2003). Reviewer: Jacques Sauloy (Toulouse) MSC: 39A13 39-03 01A55 01A60 PDF BibTeX XML Cite \textit{L. Di Vizio} et al., Gaz. Math., Soc. Math. Fr. 96, 20--49 (2003; Zbl 1063.39015)
Sauloy, Jacques Galois theory of Fuchsian \(q\)-difference equations. (English) Zbl 1053.39033 Ann. Sci. Éc. Norm. Supér. (4) 36, No. 6, 925-968 (2003). Reviewer: Lothar Berg (Rostock) MSC: 12H10 39A13 32G34 39A05 PDF BibTeX XML Cite \textit{J. Sauloy}, Ann. Sci. Éc. Norm. Supér. (4) 36, No. 6, 925--968 (2003; Zbl 1053.39033) Full Text: DOI Numdam EuDML arXiv
Baranovsky, Vladimir; Ginzburg, Victor; Kuznetsov, Alexander Wilson’s Grassmannian and a noncommutative quadric. (English) Zbl 1059.58006 Int. Math. Res. Not. 2003, No. 21, 1155-1167 (2003). MSC: 58B25 16S32 32C38 14A22 14M15 PDF BibTeX XML Cite \textit{V. Baranovsky} et al., Int. Math. Res. Not. 2003, No. 21, 1155--1167 (2003; Zbl 1059.58006) Full Text: DOI arXiv
Giorgadze, G. On the quantum computing based on the monodromy representation. (English) Zbl 1070.34121 Rep. Enlarged Sess. Semin. I. Vekua Inst. Appl. Math. 17, No. 1-2, 29-33 (2002). Reviewer: Yoshishige Haraoka (Kumamoto) MSC: 34M35 34M50 81P68 32G34 PDF BibTeX XML Cite \textit{G. Giorgadze}, Rep. Enlarged Sess. Semin. I. Vekua Inst. Appl. Math. 17, No. 1--2, 29--33 (2002; Zbl 1070.34121)
Nori, Madhav V. Constructible sheaves. (English) Zbl 1059.14025 Parimala, R. (ed.), Proceedings of the international colloquium on algebra, arithmetic and geometry, Mumbai, India, January 4–12, 2000. Part I and II. New Delhi: Narosa Publishing House, published for the Tata Institute of Fundamental Research, Bombay (ISBN 81-7319-476-9). Stud. Math., Tata Inst. Fundam. Res. 16, 471-491 (2002). MSC: 14F05 18E30 18F20 PDF BibTeX XML Cite \textit{M. V. Nori}, in: Proceedings of the international colloquium on algebra, arithmetic and geometry, Mumbai, India, January 4--12, 2000. Part I and II. New Delhi: Narosa Publishing House, published for the Tata Institute of Fundamental Research, Bombay. 471--491 (2002; Zbl 1059.14025) Full Text: arXiv
Sauloy, Jacques Galois theory of \(q\)-difference equations: the “analytical” approach. (English) Zbl 1036.12007 Braaksma, B. L. J. (ed.) et al., Differential equations and the Stokes phenomenon. Proceedings of the conference, Groningen, Netherlands, May 28–30, 2001. Singapore: World Scientific, 277-292 (2002). MSC: 39A13 34M55 12H10 PDF BibTeX XML Cite \textit{J. Sauloy}, in: Differential equations and the Stokes phenomenon. Proceedings of the conference, Groningen, Netherlands, May 28--30, 2001. Singapore: World Scientific. 277--292 (2002; Zbl 1036.12007)
Kato, Kazuya; Matsubara, Toshiharu; Nakayama, Chikara Log \(C^\infty\)-functions and degenerations of Hodge structures. (English) Zbl 1047.14005 Usui, Sampei (ed.) et al., Algebraic geometry 2000, Azumino. Proceedings of the symposium, Nagano, Japan, July 20–30, 2000. Tokyo: Mathematical Society of Japan (ISBN 4-931469-20-5/hbk). Adv. Stud. Pure Math. 36, 269-320 (2002). Reviewer: Aleksandr G. Aleksandrov (Moskva) MSC: 14D07 32G20 PDF BibTeX XML Cite \textit{K. Kato} et al., Adv. Stud. Pure Math. 36, 269--320 (2002; Zbl 1047.14005)
Kakei, Saburo; Ikeda, Takeshi; Takasaki, Kanehisa Hierarchy of \((2+1)\)-dimensional nonlinear Schrödinger equation, self-dual Yang-Mills equation, and toroidal Lie algebras. (English) Zbl 1054.35093 Ann. Henri Poincaré 3, No. 5, 817-845 (2002). Reviewer: Emma Previato (Boston) MSC: 35Q55 37K10 37K15 81R10 PDF BibTeX XML Cite \textit{S. Kakei} et al., Ann. Henri Poincaré 3, No. 5, 817--845 (2002; Zbl 1054.35093) Full Text: DOI arXiv
Neto, O. A microlocal Riemann-Hilbert correspondence. (English) Zbl 0995.58018 Compos. Math. 127, No. 3, 229-241 (2001). Reviewer: Alberto Parmeggiani (Bologna) MSC: 58J40 32S40 35N10 PDF BibTeX XML Cite \textit{O. Neto}, Compos. Math. 127, No. 3, 229--241 (2001; Zbl 0995.58018) Full Text: DOI
Usui, Sampei Recovery of vanishing cycles by log geometry. (English) Zbl 1015.14005 Tohoku Math. J., II. Ser. 53, No. 1, 1-36 (2001). MSC: 14D07 14C25 14C30 32G20 PDF BibTeX XML Cite \textit{S. Usui}, Tohoku Math. J. (2) 53, No. 1, 1--36 (2001; Zbl 1015.14005) Full Text: DOI
Jun, Byungheup Monodromies of algebraic connections on the trivial bundle. (English. Abridged French version) Zbl 1018.14012 C. R. Acad. Sci., Paris, Sér. I, Math. 331, No. 10, 809-813 (2000). MSC: 14H60 14D05 14F05 14H30 PDF BibTeX XML Cite \textit{B. Jun}, C. R. Acad. Sci., Paris, Sér. I, Math. 331, No. 10, 809--813 (2000; Zbl 1018.14012) Full Text: DOI arXiv
Nitsure, Nitin Moduli of regular holonomic \(\mathcal D\)-modules with normal crossing singularities. (English) Zbl 0965.14009 Duke Math. J. 99, No. 1, 1-39 (1999). Reviewer: Masakazu Muro (Yanagido) MSC: 14F10 32C38 32G13 PDF BibTeX XML Cite \textit{N. Nitsure}, Duke Math. J. 99, No. 1, 1--39 (1999; Zbl 0965.14009) Full Text: DOI arXiv
Usui, Sampei Recovery of vanishing cycles by log geometry: Case of several variables. (English) Zbl 1015.14006 Eisenbud, David (ed.), Commutative algebra, algebraic geometry, and computational methods. Proceedings of the conference on algebraic geometry, commutative algebra, and computation, Hanoi, Vietnam, 1996. Singapore: Springer. 135-143 (1999). MSC: 14D07 14C25 32G20 PDF BibTeX XML Cite \textit{S. Usui}, in: Commutative algebra, algebraic geometry, and computational methods. Proceedings of the conference on algebraic geometry, commutative algebra, and computation, Hanoi, Vietnam, 1996. Singapore: Springer. 135--143 (1999; Zbl 1015.14006)
Kato, Kazuya; Nakayama, Chikara log Betti cohomology, log étale cohomology, and log de Rham cohomology of log schemes over \(\mathbb{C}\). (English) Zbl 0957.14015 Kodai Math. J. 22, No. 2, 161-186 (1999). Reviewer: Gerd Faltings (Bonn) MSC: 14F20 14F43 PDF BibTeX XML Cite \textit{K. Kato} and \textit{C. Nakayama}, Kodai Math. J. 22, No. 2, 161--186 (1999; Zbl 0957.14015) Full Text: DOI
Neto, O.; Silva, F. C. Singular regular differential equations and eigenvalues of products of matrices. (English) Zbl 0935.15006 Linear Multilinear Algebra 46, No. 1-2, 145-164 (1999). Reviewer: Valeriu Prepeliţă (Bucureşti) MSC: 15A18 34A30 20G05 15A29 PDF BibTeX XML Cite \textit{O. Neto} and \textit{F. C. Silva}, Linear Multilinear Algebra 46, No. 1--2, 145--164 (1999; Zbl 0935.15006) Full Text: DOI
Nitsure, Nitin; Sabbah, Claude Moduli of pre-\(\mathcal D\)-modules, perverse sheaves and the Riemann-Hilbert morphism. I. (English) Zbl 0853.14004 Math. Ann. 306, No. 1, 47-73 (1996). Reviewer: N.Nitsure (Bombay) MSC: 14D20 14F10 32G81 32C38 PDF BibTeX XML Cite \textit{N. Nitsure} and \textit{C. Sabbah}, Math. Ann. 306, No. 1, 47--73 (1996; Zbl 0853.14004) Full Text: DOI EuDML arXiv
Kashiwara, Masaki; Schmid, Wilfried Quasi-equivariant \({\mathcal D}\)-modules, equivariant derived category, and representations of reductive Lie groups. (English) Zbl 0854.22014 Brylinski, Jean-Luc (ed.) et al., Lie theory and geometry: in honor of Bertram Kostant on the occasion of his 65th birthday. Invited papers, some originated at a symposium held at MIT, Cambridge, MA, USA in May 1993. Boston, MA: Birkhäuser. Prog. Math. 123, 457-488 (1994). Reviewer: M.Muro (Yanagido) MSC: 22E45 PDF BibTeX XML Cite \textit{M. Kashiwara} and \textit{W. Schmid}, Prog. Math. 123, 457--488 (1994; Zbl 0854.22014)
Andronikof, Emmanuel A microlocal version of the Riemann-Hilbert correspondence. (English) Zbl 0839.32004 Topol. Methods Nonlinear Anal. 4, No. 2, 417-425 (1994). Reviewer: M.Muro (Yanagido) MSC: 32C38 14F10 18F20 PDF BibTeX XML Cite \textit{E. Andronikof}, Topol. Methods Nonlinear Anal. 4, No. 2, 417--425 (1994; Zbl 0839.32004) Full Text: DOI
Borel, Armand Introduction to middle intersection cohomology and perverse sheaves. (English) Zbl 0832.55005 Haboush, William J. (ed.) et al., Algebraic groups and their generalizations: classical methods. Summer Research Institute on algebraic groups and their generalizations, July 6-26, 1991, Pennsylvania State University, University Park, PA, USA. Providence, RI: American Mathematical Society. Proc. Symp. Pure Math. 56, Pt. 1, 25-52 (1994). Reviewer: M.Saralegi-Aranguren (Madrid) MSC: 55N33 14F43 32S60 20G05 PDF BibTeX XML Cite \textit{A. Borel}, Proc. Symp. Pure Math. 56, 25--52 (1994; Zbl 0832.55005)
Deninger, Christopher Motivic \(L\)-functions and regularized determinants. (English) Zbl 0816.14010 Jannsen, Uwe (ed.) et al., Motives. Proceedings of the summer research conference on motives, held at the University of Washington, Seattle, WA, USA, July 20-August 2, 1991. Providence, RI: American Mathematical Society. Proc. Symp. Pure Math. 55, Pt. 1, 707-743 (1994). Reviewer: W.W.J.Hulsbergen (Haarlem) MSC: 14G40 14G10 14A20 14F99 PDF BibTeX XML Cite \textit{C. Deninger}, Proc. Symp. Pure Math. 55, 707--743 (1994; Zbl 0816.14010)
Ochiai, Hiroyuki Characters and character cycles. (English) Zbl 0840.22021 J. Math. Soc. Japan 45, No. 4, 583-598 (1993). Reviewer: K.-H.Neeb (Erlangen) MSC: 22E46 PDF BibTeX XML Cite \textit{H. Ochiai}, J. Math. Soc. Japan 45, No. 4, 583--598 (1993; Zbl 0840.22021) Full Text: DOI
Simpson, Carlos Asymptotic behavior of monodromy. Singularly perturbed differential equations on a Riemann surface. (English) Zbl 0758.34046 Lecture Notes in Mathematics. 1502. Berlin: Springer-Verlag. 139 p. (1991). Reviewer: P.Habets (Louvain-La-Neuve) MSC: 34E15 34-02 34M35 30D05 PDF BibTeX XML Cite \textit{C. Simpson}, Asymptotic behavior of monodromy. Singularly perturbed differential equations on a Riemann surface. Berlin: Springer-Verlag (1991; Zbl 0758.34046) Full Text: DOI
Malgrange, Bernard Differential equations with polynomial coefficients. (Équations différentielles à coefficients polynomiaux.) (French) Zbl 0764.32001 Progress in Mathematics (Boston, Mass.). 96. Boston, MA etc.: Birkhäuser. 232 p. (1991). Reviewer: Luis Narváez-Macarro (Sevilla) MSC: 32-02 32C38 34M99 35A27 14F10 PDF BibTeX XML Cite \textit{B. Malgrange}, Équations différentielles à coefficients polynomiaux. Boston, MA etc.: Birkhäuser (1991; Zbl 0764.32001)
Brylinski, Jean-Luc; Zucker, Steven An overview of recent advances in Hodge theory. (English. Russian original) Zbl 0793.14005 Several complex variables VI. Complex manifolds, Encycl. Math. Sci. 69, 39-142 (1990); Russian translation in Itogi Nauki Tekh., Ser. Sovrem. Probl. Mat., Fundam. Napravleniya 69, 48-165 (1991). MSC: 14C30 14-02 14D07 32S35 14-03 32S40 14F10 14F43 01A60 PDF BibTeX XML
Mebkhout, Z. Systèmes différentiels. Le formalisme des six opérations de Grothendieck pour les \(D_ X\)-modules cohérents. (Differential systems. The formalism of the six Grothendieck operations for coherent \(D_ X\)-modules). (French) Zbl 0686.14020 Travaux en Cours, 35. Paris: Hermann. 253 p. FF 220.00 (1989). Reviewer: F.Baldassarri MSC: 14F10 14F40 32C38 14-02 32-02 32C37 PDF BibTeX XML Cite \textit{Z. Mebkhout}, Systèmes différentiels. Le formalisme des six opérations de Grothendieck pour les \(D_ X\)-modules cohérents. (Differential systems. The formalism of the six Grothendieck operations for coherent \(D_ X\)-modules). Paris: Hermann (1989; Zbl 0686.14020)
Smith, S. P. The simple \({\mathcal D}\)-module associated to the intersection homology complex for a class of plane curves. (English) Zbl 0654.14009 J. Pure Appl. Algebra 50, No. 3, 287-294 (1988). Reviewer: J.-M.Granger MSC: 14F10 14H99 PDF BibTeX XML Cite \textit{S. P. Smith}, J. Pure Appl. Algebra 50, No. 3, 287--294 (1988; Zbl 0654.14009) Full Text: DOI
Brylinski, Jean-Luc; Malgrange, Bernard; Verdier, Jean-Louis Transformation de Fourier géométrique. II. (Geometric Fourier transformation. II). (French) Zbl 0601.32010 C. R. Acad. Sci., Paris, Sér. I 303, 193-198 (1986). Reviewer: L.Narvaez-Macarro MSC: 32C38 14F05 43A32 14F40 PDF BibTeX XML Cite \textit{J.-L. Brylinski} et al., C. R. Acad. Sci., Paris, Sér. I 303, 193--198 (1986; Zbl 0601.32010)
Noumi, Masatoshi Constructible \({\mathbb{C}}_ X\)-modules and holonomic \({\mathcal D}_ X\)- modules. (Japanese) Zbl 0592.32021 Sûgaku 36, 125-136 (1984). Reviewer: M.Muro MSC: 32L99 32K99 58J10 18F20 14F10 14F40 35Q15 PDF BibTeX XML Cite \textit{M. Noumi}, Sūgaku 36, 125--136 (1984; Zbl 0592.32021)
Hotta, R.; Kashiwara, M. The invariant holonomic system on a semisimple Lie algebra. (English) Zbl 0538.22013 Invent. Math. 75, No. 2, 327-358 (1984). Reviewer: David Vogan MSC: 22E46 14F10 32C38 35Q15 PDF BibTeX XML Cite \textit{R. Hotta} and \textit{M. Kashiwara}, Invent. Math. 75, 327--358 (1984; Zbl 0538.22013) Full Text: DOI EuDML
Verdier, J. L. Geometrie microlocale. (French) Zbl 0576.35096 Algebraic geometry, Proc. Jap.-Fr. Conf., Tokyo and Kyoto 1982, Lect. Notes Math. 1016, 127-133 (1983). Reviewer: J.Kajiwara MSC: 35Q15 14F10 PDF BibTeX XML